Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
34301	Evaluate the Limit	limit as x approaches 8 of (1+3/n)^n	$lim_{x \to 8} {(1 + \frac{3}{n})}^{n}$
34302	Evaluate the Limit	limit as x approaches -8 of (x^4+x^3)/(12x^3+128)	$lim_{x \to - 8} \frac{x^{4} + x^{3}}{12 x^{3} + 128}$
34303	Evaluate the Limit	limit as x approaches 8 of (1-2/x)^(3x)	$lim_{x \to 8} {(1 - \frac{2}{x})}^{3 x}$
34304	Evaluate the Limit	limit as x approaches 8 of (1+1/x)^(-3x)	$lim_{x \to 8} {(1 + \frac{1}{x})}^{- 3 x}$
34305	Evaluate the Limit	limit as x approaches 8 of (1+0.03/x)^x	$lim_{x \to 8} {(1 + \frac{0.03}{x})}^{x}$
34306	Evaluate the Limit	limit as x approaches 8 of (1+1/x)^(x/10)	$lim_{x \to 8} {(1 + \frac{1}{x})}^{\frac{x}{10}}$
34307	Evaluate the Limit	limit as x approaches 8 of ( cube root of x^3-2x-1)/( square root of x^2+x+1)	$lim_{x \to 8} \frac{\sqrt[3]{x^{3} - 2 x - 1}}{\sqrt{x^{2} + x + 1}}$
34308	Evaluate the Limit	limit as x approaches -8 of ( cube root of x^6+64)/(3x^2+ square root of 2x^4+16)	$lim_{x \to - 8} \frac{\sqrt[3]{x^{6} + 64}}{3 x^{2} + \sqrt{2 x^{4} + 16}}$
34309	Evaluate the Limit	limit as x approaches 8 of (x/(x-1))^(3x)	$lim_{x \to 8} {(\frac{x}{x - 1})}^{3 x}$
34310	Evaluate the Limit	limit as x approaches 8 of ( square root of x+x^2)/(4x-x^2)	$lim_{x \to 8} \frac{\sqrt{x} + x^{2}}{4 x - x^{2}}$
34311	Evaluate the Limit	limit as x approaches 8 of (x^2-6x+9)/(x^2)	$lim_{x \to 8} \frac{x^{2} - 6 x + 9}{x^{2}}$
34312	Evaluate the Limit	limit as x approaches 8 of (x^2-8x)/(x^2-x-56)	$lim_{x \to 8} \frac{x^{2} - 8 x}{x^{2} - x - 56}$
34313	Evaluate the Limit	limit as x approaches 8 of (x^3+7x)/(7x^3-x^2+6)	$lim_{x \to 8} \frac{x^{3} + 7 x}{7 x^{3} - x^{2} + 6}$
34314	Evaluate the Limit	limit as x approaches 8 of (x^3+8)/(4x^3+ square root of 64x^6+4)	$lim_{x \to 8} \frac{x^{3} + 8}{4 x^{3} + \sqrt{64 x^{6} + 4}}$
34315	Evaluate the Limit	limit as x approaches 8 of (x^3+9x)/(9x^3-x^2+6)	$lim_{x \to 8} \frac{x^{3} + 9 x}{9 x^{3} - x^{2} + 6}$
34316	Evaluate the Limit	limit as x approaches 8 of (x^4-2x^2+2)/(x^5+2x^3)	$lim_{x \to 8} \frac{x^{4} - 2 x^{2} + 2}{x^{5} + 2 x^{3}}$
34317	Evaluate the Limit	limit as x approaches 8 of (x^4-2x^2+x)/(x^3-x+3)	$lim_{x \to 8} \frac{x^{4} - 2 x^{2} + x}{x^{3} - x + 3}$
34318	Evaluate the Limit	limit as x approaches 8 of ((x+3)/(x+1))^x	$lim_{x \to 8} {(\frac{x + 3}{x + 1})}^{x}$
34319	Evaluate the Limit	limit as x approaches 8 of (0.0738x+11183)/x	$lim_{x \to 8} \frac{0.0738 x + 11183}{x}$
34320	Evaluate the Limit	limit as x approaches 8 of 1/(x^2-81)	$lim_{x \to 8} \frac{1}{x^{2} - 81}$
34321	Evaluate the Limit	limit as x approaches 8 of 1/(x-8)	$lim_{x \to 8} \frac{1}{x - 8}$
34322	Evaluate the Limit	limit as x approaches -8 of (1.001)^x	$lim_{x \to - 8} {(1.001)}^{x}$
34323	Evaluate the Limit	limit as x approaches -8 of (1.002)^x	$lim_{x \to - 8} {(1.002)}^{x}$
34324	Evaluate the Limit	limit as x approaches 8 of (1.006)^x	$lim_{x \to 8} {(1.006)}^{x}$
34325	Evaluate the Limit	limit as x approaches 8 of (1.007)^x	$lim_{x \to 8} {(1.007)}^{x}$
34326	Evaluate the Limit	limit as x approaches 8 of (1.019)^x	$lim_{x \to 8} {(1.019)}^{x}$
34327	Evaluate the Limit	limit as x approaches 8 of (1.04)^x	$lim_{x \to 8} {(1.04)}^{x}$
34328	Evaluate the Limit	limit as x approaches 8 of (x-8)/(x^2-64)	$lim_{x \to 8} \frac{x - 8}{x^{2} - 64}$
34329	Evaluate the Limit	limit as x approaches 8 of (x^2-4)/(5x-3x^2)	$lim_{x \to 8} \frac{x^{2} - 4}{5 x - 3 x^{2}}$
34330	Find the Derivative - d/dx	square root of x- cube root of x	$\sqrt{x} - \sqrt[3]{x}$
34331	Evaluate the Limit	limit as x approaches -8 of (x^2-7)/(8-x)	$lim_{x \to - 8} \frac{x^{2} - 7}{8 - x}$
34332	Evaluate the Limit	limit as x approaches 8 of (x^2-1)/(2x^2+1)	$lim_{x \to 8} \frac{x^{2} - 1}{2 x^{2} + 1}$
34333	Evaluate the Limit	limit as x approaches 8 of (x^2-11x-14)/(14-2x^2)	$lim_{x \to 8} \frac{x^{2} - 11 x - 14}{14 - 2 x^{2}}$
34334	Evaluate the Limit	limit as x approaches 8 of (x^2-36)/(x-6)	$lim_{x \to 8} \frac{x^{2} - 36}{x - 6}$
34335	Evaluate the Limit	limit as x approaches 8 of (x^2+5)/( square root of 64x^4+1)	$lim_{x \to 8} \frac{x^{2} + 5}{\sqrt{64 x^{4} + 1}}$
34336	Evaluate the Limit	limit as x approaches 8 of (x^2+9x+18)/(x^3-6x^2+13)	$lim_{x \to 8} \frac{x^{2} + 9 x + 18}{x^{3} - 6 x^{2} + 13}$
34337	Evaluate the Limit	limit as x approaches 8 of (x^2+3x-340)/(x^2-289)	$lim_{x \to 8} \frac{x^{2} + 3 x - 340}{x^{2} - 289}$
34338	Evaluate the Limit	limit as x approaches 8 of (x^2+3x+c)/(x^2-15x+56)	$lim_{x \to 8} \frac{x^{2} + 3 x + c}{x^{2} - 15 x + 56}$
34339	Evaluate the Limit	limit as x approaches 8 of (x^2)/( square root of 6x^4-1)	$lim_{x \to 8} \frac{x^{2}}{\sqrt{6 x^{4} - 1}}$
34340	Evaluate the Limit	limit as x approaches 8 of (x^3)/(4x^3+1)	$lim_{x \to 8} \frac{x^{3}}{4 x^{3} + 1}$
34341	Evaluate the Limit	limit as x approaches 8 of (x^3)/( natural log of x)	$lim_{x \to 8} \frac{x^{3}}{\ln (x)}$
34342	Evaluate the Limit	limit as x approaches 8 of (x^3+1)/(x^2+1)	$lim_{x \to 8} \frac{x^{3} + 1}{x^{2} + 1}$
34343	Evaluate the Limit	limit as x approaches 8 of (x^3+2x^2-4x)/(x^2-100x+3)	$lim_{x \to 8} \frac{x^{3} + 2 x^{2} - 4 x}{x^{2} - 100 x + 3}$
34344	Evaluate the Limit	limit as x approaches 8 of (x^3+2x)/(8x^3-x^2+2)	$lim_{x \to 8} \frac{x^{3} + 2 x}{8 x^{3} - x^{2} + 2}$
34345	Evaluate the Limit	limit as x approaches 8 of (x^3+5)/( square root of x^5)	$lim_{x \to 8} \frac{x^{3} + 5}{\sqrt{x^{5}}}$
34346	Evaluate the Limit	limit as x approaches 8 of (x^2-x-6)/(x^2-9)	$lim_{x \to 8} \frac{x^{2} - x - 6}{x^{2} - 9}$
34347	Evaluate the Limit	limit as x approaches 8 of (x^3)/(2x^3-100x^2)	$lim_{x \to 8} \frac{x^{3}}{2 x^{3} - 100 x^{2}}$
34348	Evaluate the Limit	limit as x approaches 8 of (x^3+6)/(x^4-1)	$lim_{x \to 8} \frac{x^{3} + 6}{x^{4} - 1}$
34349	Evaluate the Limit	limit as x approaches -8 of (x^5-2000x^4)/(2x^5+9000)	$lim_{x \to - 8} \frac{x^{5} - 2000 x^{4}}{2 x^{5} + 9000}$
34350	Evaluate the Limit	limit as x approaches -8 of (x^3-8)/(4x^2-11x+6)	$lim_{x \to - 8} \frac{x^{3} - 8}{4 x^{2} - 11 x + 6}$
34351	Evaluate the Limit	limit as x approaches 8 of (x^4+5)/( square root of x^6)	$lim_{x \to 8} \frac{x^{4} + 5}{\sqrt{x^{6}}}$
34352	Evaluate the Limit	limit as x approaches -8 of ( square root of 9x^6-x)/(x^3+x)	$lim_{x \to - 8} \frac{\sqrt{9 x^{6} - x}}{x^{3} + x}$
34353	Evaluate the Limit	limit as x approaches 8 of ( square root of 9+11x^2)/(5+5x)	$lim_{x \to 8} \frac{\sqrt{9 + 11 x^{2}}}{5 + 5 x}$
34354	Evaluate the Limit	limit as x approaches 8 of ( square root of t-t^2)/(9t+t^2)	$lim_{x \to 8} \frac{\sqrt{t} - t^{2}}{9 t + t^{2}}$
34355	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/(x^2-7x+12)	$lim_{x \to 3} \frac{x^{2} - 9}{x^{2} - 7 x + 12}$
34356	Evaluate the Limit	limit as x approaches 5 of 2/((x-5)^6)	$lim_{x \to 5} \frac{2}{{(x - 5)}^{6}}$
34357	Evaluate the Limit	limit as x approaches 8 of ( cube root of x^3-4x^2-7x-5)/3*(16x-8)	$lim_{x \to 8} \frac{\sqrt[3]{x^{3} - 4 x^{2} - 7 x - 5}}{3} \cdot (16 x - 8)$
34358	Evaluate the Limit	limit as x approaches -8 of ( cube root of x^6+64)/(2x^2+ square root of 3x^4+49)	$lim_{x \to - 8} \frac{\sqrt[3]{x^{6} + 64}}{2 x^{2} + \sqrt{3 x^{4} + 49}}$
34359	Evaluate the Limit	limit as x approaches 8 of ( cube root of x^6+729)/(4x^2+ square root of 2x^4+64)	$lim_{x \to 8} \frac{\sqrt[3]{x^{6} + 729}}{4 x^{2} + \sqrt{2 x^{4} + 64}}$
34360	Evaluate the Limit	limit as x approaches -8 of ( cube root of x^6+729)/(4x^2+ square root of 5x^4+25)	$lim_{x \to - 8} \frac{\sqrt[3]{x^{6} + 729}}{4 x^{2} + \sqrt{5 x^{4} + 25}}$
34361	Evaluate the Limit	limit as x approaches -8 of ( cube root of x^6+729)/(4x^2+ square root of 7x^4+9)	$lim_{x \to - 8} \frac{\sqrt[3]{x^{6} + 729}}{4 x^{2} + \sqrt{7 x^{4} + 9}}$
34362	Evaluate the Limit	limit as x approaches 8 of ( cube root of 2+3x-5x^2)/( cube root of 1+8x^2)	$lim_{x \to 8} \frac{\sqrt[3]{2 + 3 x - 5 x^{2}}}{\sqrt[3]{1 + 8 x^{2}}}$
34363	Evaluate the Limit	limit as x approaches 8 of ( cube root of 6x^3-2x+1)/7	$lim_{x \to 8} \frac{\sqrt[3]{6 x^{3} - 2 x + 1}}{7}$
34364	Evaluate the Limit	limit as x approaches 8 of ( cube root of 6x^3-2x+1)/(7x)	$lim_{x \to 8} \frac{\sqrt[3]{6 x^{3} - 2 x + 1}}{7 x}$
34365	Evaluate the Limit	limit as x approaches -8 of ( square root of 49x^2+1)/(3x)	$lim_{x \to - 8} \frac{\sqrt{49 x^{2} + 1}}{3 x}$
34366	Evaluate the Limit	limit as x approaches 8 of ( square root of 5x^2)/(2x)	$lim_{x \to 8} \frac{\sqrt{5 x^{2}}}{2 x}$
34367	Evaluate the Limit	limit as x approaches 0 of (sin(x))/(7x)	$lim_{x \to 0} \frac{\sin (x)}{7 x}$
34368	Evaluate the Limit	limit as x approaches -8 of ( square root of 5x^2-3x)/(x-3)	$lim_{x \to - 8} \frac{\sqrt{5 x^{2} - 3 x}}{x - 3}$
34369	Evaluate the Limit	limit as x approaches 8 of ( square root of 5x^2-7)/(x+19)	$lim_{x \to 8} \frac{\sqrt{5 x^{2} - 7}}{x + 19}$
34370	Evaluate the Limit	limit as x approaches -8 of ( square root of 5x^2-8)/(x+14)	$lim_{x \to - 8} \frac{\sqrt{5 x^{2} - 8}}{x + 14}$
34371	Evaluate the Limit	limit as x approaches -8 of ( square root of 5x^4-1/4)/(-12-2/3x^8)	$lim_{x \to - 8} \frac{\sqrt{5 x^{4} - \frac{1}{4}}}{- 12 - \frac{2}{3} x^{8}}$
34372	Evaluate the Limit	limit as x approaches -8 of ( square root of 5x^4+4x)/(x^2-16)	$lim_{x \to - 8} \frac{\sqrt{5 x^{4} + 4 x}}{x^{2} - 16}$
34373	Evaluate the Limit	limit as x approaches 8 of ( square root of 5x^6-2)/(3x^3)	$lim_{x \to 8} \frac{\sqrt{5 x^{6} - 2}}{3 x^{3}}$
34374	Evaluate the Limit	limit as x approaches 8 of ( square root of 6x^4+5x+5)/(5x^3+1)	$lim_{x \to 8} \frac{\sqrt{6 x^{4} + 5 x + 5}}{5 x^{3} + 1}$
34375	Evaluate the Limit	limit as x approaches -8 of ( square root of 7x^2-11)/(x+13)	$lim_{x \to - 8} \frac{\sqrt{7 x^{2} - 11}}{x + 13}$
34376	Evaluate the Limit	limit as x approaches -2 of (-2x-4)/(x^3+2x^2)	$lim_{x \to - 2} \frac{- 2 x - 4}{x^{3} + 2 x^{2}}$
34377	Evaluate the Limit	limit as x approaches 8 of ( square root of 9x^4-1)/(5x^2+3x-1)	$lim_{x \to 8} \frac{\sqrt{9 x^{4} - 1}}{5 x^{2} + 3 x - 1}$
34378	Find the Derivative - d/d?	square root of 3theta	$\sqrt{3 θ}$
34379	Evaluate the Limit	limit as x approaches 8 of ( square root of 9x^2+1)/(5x+2)	$lim_{x \to 8} \frac{\sqrt{9 x^{2} + 1}}{5 x + 2}$
34380	Evaluate the Limit	limit as x approaches 8 of (x^(1/3-2))/(x-8)	$lim_{x \to 8} \frac{x^{\frac{1}{3} - 2}}{x - 8}$
34381	Evaluate the Limit	limit as x approaches 8 of (x^(2/3)+3 square root of x)/(4-(16/x))	$lim_{x \to 8} \frac{x^{\frac{2}{3}} + 3 \sqrt{x}}{4 - (\frac{16}{x})}$
34382	Evaluate the Limit	limit as x approaches 8 of (x^(2/3)-1)/(x-1)	$lim_{x \to 8} \frac{x^{\frac{2}{3}} - 1}{x - 1}$
34383	Evaluate the Limit	limit as x approaches 8 of (x^100)/(2^x)	$lim_{x \to 8} \frac{x^{100}}{2^{x}}$
34384	Evaluate the Limit	limit as x approaches 8 of (x^13000)/(e^x)	$lim_{x \to 8} \frac{x^{13000}}{e^{x}}$
34385	Evaluate the Limit	limit as x approaches 8 of ( square root of 4x^6-x)/(x^3+2)	$lim_{x \to 8} \frac{\sqrt{4 x^{6} - x}}{x^{3} + 2}$
34386	Evaluate the Limit	limit as x approaches 8 of (1+10x)/(6-11x)	$lim_{x \to 8} \frac{1 + 10 x}{6 - 11 x}$
34387	Evaluate the Limit	limit as x approaches -8 of (1+7 cube root of x)/(2 cube root of x)	$lim_{x \to - 8} \frac{1 + 7 \sqrt[3]{x}}{2 \sqrt[3]{x}}$
34388	Evaluate the Limit	limit as x approaches 8 of (1+x+x^3-5x^5)/(3x^5+1000x^3-2)	$lim_{x \to 8} \frac{1 + x + x^{3} - 5 x^{5}}{3 x^{5} + 1000 x^{3} - 2}$
34389	Evaluate the Limit	limit as x approaches 8 of (10e^x-21)/(2e^x)	$lim_{x \to 8} \frac{10 e^{x} - 21}{2 e^{x}}$
34390	Evaluate the Limit	limit as x approaches 8 of (10x^2+200x+8)/(4x^9+7)	$lim_{x \to 8} \frac{10 x^{2} + 200 x + 8}{4 x^{9} + 7}$
34391	Evaluate the Limit	limit as x approaches 8 of (10x^3-6x^2-3x)/(11-7x-3x^3)	$lim_{x \to 8} \frac{10 x^{3} - 6 x^{2} - 3 x}{11 - 7 x - 3 x^{3}}$
34392	Evaluate the Limit	limit as x approaches 8 of (10x^4-x^3+x+12)/(5x^4+2x^3+x^2+5x+3)	$lim_{x \to 8} \frac{10 x^{4} - x^{3} + x + 12}{5 x^{4} + 2 x^{3} + x^{2} + 5 x + 3}$
34393	Evaluate the Limit	limit as x approaches -8 of (10x^4)/(2x^4+15x^3+7x^2)	$lim_{x \to - 8} \frac{10 x^{4}}{2 x^{4} + 15 x^{3} + 7 x^{2}}$
34394	Evaluate the Limit	limit as x approaches 8 of 10/(x+1)	$lim_{x \to 8} \frac{10}{x + 1}$
34395	Evaluate the Limit	limit as x approaches 8 of 10^x* natural log of 10	$lim_{x \to 8} 10^{x} \cdot \ln (10)$
34396	Evaluate the Limit	limit as x approaches 8 of (10+2)/(100-7)	$lim_{x \to 8} \frac{10 + 2}{100 - 7}$
34397	Evaluate the Limit	limit as x approaches 8 of 100/(x^2+5)	$lim_{x \to 8} \frac{100}{x^{2} + 5}$
34398	Evaluate the Limit	limit as x approaches 8 of (10sin(x)+11cos(x))/x	$lim_{x \to 8} \frac{10 \sin (x) + 11 \cos (x)}{x}$
34399	Evaluate the Limit	limit as x approaches 8 of (10x+100)/(x^2-40)	$lim_{x \to 8} \frac{10 x + 100}{x^{2} - 40}$
34400	Evaluate the Limit	limit as x approaches 8 of (11x^4)/(18x^4+4x^3+19x^2)	$lim_{x \to 8} \frac{11 x^{4}}{18 x^{4} + 4 x^{3} + 19 x^{2}}$