Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
35401	Evaluate the Limit	limit as x approaches -7 of 2x+5	$lim_{x \to - 7} 2 x + 5$
35402	Evaluate the Limit	limit as x approaches 2 of 5	$lim_{x \to 2} 5$
35403	Evaluate the Limit	limit as x approaches 7 of 3x^2+6x	$lim_{x \to 7} 3 x^{2} + 6 x$
35404	Evaluate the Limit	limit as x approaches 7 of 4x^-1	$lim_{x \to 7} 4 x^{- 1}$
35405	Evaluate the Limit	limit as x approaches 7 of 49-(x^2)/(7+x)	$lim_{x \to 7} 49 - \frac{x^{2}}{7 + x}$
35406	Evaluate the Limit	limit as x approaches 7 of 4x+3	$lim_{x \to 7} 4 x + 3$
35407	Evaluate the Limit	limit as x approaches 7 of 6x-29	$lim_{x \to 7} 6 x - 29$
35408	Evaluate the Limit	limit as x approaches 7 of 7x-4	$lim_{x \to 7} 7 x - 4$
35409	Evaluate the Limit	limit as x approaches -7 of 8	$lim_{x \to - 7} 8$
35410	Evaluate the Limit	limit as x approaches 7 of 9(6.99) square root of 49-6.99^2	$lim_{x \to 7} 9 (6.99) \sqrt{49 - {6.99}^{2}}$
35411	Evaluate the Limit	limit as x approaches 7 of cos(1/x-1/7)	$lim_{x \to 7} \cos (\frac{1}{x} - \frac{1}{7})$
35412	Evaluate the Limit	limit as x approaches 7 of -(9x)/(x+7)	$lim_{x \to 7} - \frac{9 x}{x + 7}$
35413	Evaluate the Limit	limit as x approaches 7 of square root of 25	$lim_{x \to 7} \sqrt{25}$
35414	Evaluate the Limit	limit as x approaches 7 of square root of 3x-6	$lim_{x \to 7} \sqrt{3 x - 6}$
35415	Evaluate the Limit	limit as x approaches 7 of g(x)	$lim_{x \to 7} g (x)$
35416	Evaluate the Limit	limit as x approaches 7 of natural log of x/( square root of x-6)	$lim_{x \to 7} \ln (\frac{x}{\sqrt{x - 6}})$
35417	Evaluate the Limit	limit as x approaches 7 of sec((7pi)/6)	$lim_{x \to 7} \sec (\frac{7 π}{6})$
35418	Evaluate the Limit	limit as x approaches 7 of (x)f(13)-g*9	$lim_{x \to 7} (x) f (13) - g \cdot 9$
35419	Evaluate the Limit	limit as x approaches 7 of x+5	$lim_{x \to 7} x + 5$
35420	Evaluate the Limit	limit as x approaches 7 of x-7	$lim_{x \to 7} x - 7$
35421	Evaluate the Limit	limit as x approaches 7.99 of (7.99-8)/(7.99^2-7*7.99-8)	$lim_{x \to 7.99} \frac{7.99 - 8}{{7.99}^{2} - 7 \cdot 7.99 - 8}$
35422	Evaluate the Limit	limit as x approaches 7.999 of ((x/(x+1))-8/9)/(x-8)	$lim_{x \to 7.999} \frac{(\frac{x}{x + 1}) - \frac{8}{9}}{x - 8}$
35423	Evaluate the Limit	limit as x approaches (7pi)/4 of sin(x)	$lim_{x \to \frac{7 π}{4}} \sin (x)$
35424	Evaluate the Limit	limit as x approaches infinity of arctan(x^2-x^4)	$lim_{x \to \infty} \arctan (x^{2} - x^{4})$
35425	Evaluate the Limit	limit as x approaches 700 of 1.23x+3.68	$lim_{x \to 700} 1.23 x + 3.68$
35426	Evaluate the Limit	limit as x approaches 0 of (x^3-5x^2)/(x^2)	$lim_{x \to 0} \frac{x^{3} - 5 x^{2}}{x^{2}}$
35427	Evaluate the Limit	limit as x approaches 8 of (( square root of 5x- square root of 5x-2)x)/( square root of x)	$lim_{x \to 8} \frac{(\sqrt{5 x} - \sqrt{5 x - 2}) x}{\sqrt{x}}$
35428	Evaluate the Limit	limit as x approaches 8 of ( square root of 64x^2+x)-8x	$lim_{x \to 8} (\sqrt{64 x^{2} + x}) - 8 x$
35429	Evaluate the Limit	limit as x approaches 8 of ( square root of 64x(x)+1x)-8x	$lim_{x \to 8} (\sqrt{64 x (x) + 1 x}) - 8 x$
35430	Evaluate the Limit	limit as x approaches 8 of (1-(cos(3x)^2))/(xsin(5x))	$lim_{x \to 8} \frac{1 - (\cos^{2} (3 x))}{x \sin (5 x)}$
35431	Evaluate the Limit	limit as x approaches 8 of (x-1)*(x- square root of x^2-6x)/(x+2)	$lim_{x \to 8} (x - 1) \cdot \frac{x - \sqrt{x^{2} - 6 x}}{x + 2}$
35432	Evaluate the Limit	limit as x approaches 8 of ( square root of 100x^2-1000)/(x-10)	$lim_{x \to 8} \frac{\sqrt{100 x^{2} - 1000}}{x - 10}$
35433	Evaluate the Limit	limit as x approaches 8 of ( square root of 16x^2+2x+8-5x+1)/(7x+1)	$lim_{x \to 8} \frac{\sqrt{16 x^{2} + 2 x + 8} - 5 x + 1}{7 x + 1}$
35434	Evaluate the Limit	limit as x approaches 8 of (x^2-x)/((x^2+1)(x-1))	$lim_{x \to 8} \frac{x^{2} - x}{(x^{2} + 1) (x - 1)}$
35435	Evaluate the Limit	limit as x approaches infinity of (x+2)/( square root of 36x^2+1)	$lim_{x \to \infty} \frac{x + 2}{\sqrt{36 x^{2} + 1}}$
35436	Evaluate the Limit	limit as x approaches 8 of (3(x^7-11)(x^2+5))/(3(x^n-8)(x^3+18))	$lim_{x \to 8} \frac{3 (x^{7} - 11) (x^{2} + 5)}{3 (x^{n} - 8) (x^{3} + 18)}$
35437	Evaluate the Limit	limit as x approaches 8 of (0.1x)/(x^2+2)	$lim_{x \to 8} \frac{0.1 x}{x^{2} + 2}$
35438	Evaluate the Limit	limit as x approaches 8 of ((x^2-63)^7-1)/(x-8)	$lim_{x \to 8} \frac{{(x^{2} - 63)}^{7} - 1}{x - 8}$
35439	Evaluate the Limit	limit as x approaches 8 of ((x^4+3)^(1/2))/(3x^2+4)	$lim_{x \to 8} \frac{{(x^{4} + 3)}^{\frac{1}{2}}}{3 x^{2} + 4}$
35440	Evaluate the Limit	limit as x approaches 8 of ((2x-2)^2)/((x-3)^2)	$lim_{x \to 8} \frac{{(2 x - 2)}^{2}}{{(x - 3)}^{2}}$
35441	Evaluate the Limit	limit as x approaches 8 of (1.00001^x)/(x^20)	$lim_{x \to 8} \frac{{1.00001}^{x}}{x^{20}}$
35442	Evaluate the Limit	limit as x approaches -8 of (1/8+1/x)/(8+x)	$lim_{x \to - 8} \frac{\frac{1}{8} + \frac{1}{x}}{8 + x}$
35443	Evaluate the Limit	limit as x approaches 8 of (2/(2x+7))/(10x)	$lim_{x \to 8} \frac{\frac{2}{2 x + 7}}{10 x}$
35444	Evaluate the Limit	limit as x approaches 8 of (4^x-4^(-x))/(4^x+4^(-x))	$lim_{x \to 8} \frac{4^{x} - 4^{- x}}{4^{x} + 4^{- x}}$
35445	Evaluate the Limit	limit as x approaches 8 of (40x^4-x^3+x+14)/(8x^4+2x^3+x^2+5x+9)	$lim_{x \to 8} \frac{40 x^{4} - x^{3} + x + 14}{8 x^{4} + 2 x^{3} + x^{2} + 5 x + 9}$
35446	Evaluate the Limit	limit as x approaches 0 of x-5/x	$lim_{x \to 0} x - \frac{5}{x}$
35447	Evaluate the Limit	limit as x approaches 8 of (cos(x)^2)/( square root of x)	$lim_{x \to 8} \frac{\cos^{2} (x)}{\sqrt{x}}$
35448	Evaluate the Limit	limit as x approaches 8 of (e^(2x)-1)/(sin(3x))	$lim_{x \to 8} \frac{e^{2 x} - 1}{\sin (3 x)}$
35449	Evaluate Using the Squeeze Theorem	limit as x approaches 0 of f(x)	$lim_{x \to 0} f (x)$
35450	Evaluate the Limit	limit as x approaches 8 of (e^(4x))/(x^4)	$lim_{x \to 8} \frac{e^{4 x}}{x^{4}}$
35451	Evaluate the Limit	limit as x approaches 8 of (e^(6x)-e^(3x))/(e^(2x)-e^(-2x))	$lim_{x \to 8} \frac{e^{6 x} - e^{3 x}}{e^{2 x} - e^{- 2 x}}$
35452	Evaluate the Limit	limit as x approaches 8 of (e^n-e^(-n))/(e^n+e^(-n))	$lim_{x \to 8} \frac{e^{n} - e^{- n}}{e^{n} + e^{- n}}$
35453	Evaluate the Limit	limit as x approaches 0 of (cos(2x)-1)/(3x)	$lim_{x \to 0} \frac{\cos (2 x) - 1}{3 x}$
35454	Evaluate the Limit	limit as x approaches 8 of (e^x)/(4+5e^(3x))	$lim_{x \to 8} \frac{e^{x}}{4 + 5 e^{3 x}}$
35455	Evaluate the Limit	limit as x approaches 8 of (e^x)/x	$lim_{x \to 8} \frac{e^{x}}{x}$
35456	Evaluate the Limit	limit as x approaches 8 of ( square root of 36x^2-216)/(x-6)	$lim_{x \to 8} \frac{\sqrt{36 x^{2} - 216}}{x - 6}$
35457	Evaluate the Limit	limit as x approaches 8 of ( square root of 4x^2-5x+7x)/(5x-5)	$lim_{x \to 8} \frac{\sqrt{4 x^{2} - 5 x + 7 x}}{5 x - 5}$
35458	Evaluate the Limit	limit as x approaches 8 of ( square root of 10x^2-11)/(x+11)	$lim_{x \to 8} \frac{\sqrt{10 x^{2} - 11}}{x + 11}$
35459	Evaluate the Limit	limit as x approaches -8 of ( square root of 10+6x^2)/(7+8x)	$lim_{x \to - 8} \frac{\sqrt{10 + 6 x^{2}}}{7 + 8 x}$
35460	Evaluate the Limit	limit as x approaches 8 of (sin(x)^2)/(3x^2)	$lim_{x \to 8} \frac{\sin^{2} (x)}{3 x^{2}}$
35461	Evaluate the Limit	limit as x approaches 8 of ( square root of (x^3)/(x-2))/x	$lim_{x \to 8} \frac{\sqrt{\frac{x^{3}}{x - 2}}}{x}$
35462	Evaluate the Limit	limit as x approaches 8 of ( square root of x^2-7)/(5x-7)	$lim_{x \to 8} \frac{\sqrt{x^{2} - 7}}{5 x - 7}$
35463	Evaluate the Limit	limit as x approaches 7 of x	$lim_{x \to 7} x$
35464	Evaluate the Limit	limit as x approaches 7 of cos((pix)/6)	$lim_{x \to 7} \cos (\frac{π x}{6})$
35465	Evaluate the Limit	limit as x approaches 7 of f(9.9)	$lim_{x \to 7} f (9.9)$
35466	Evaluate the Limit	limit as x approaches 3 of (x^2-3x)/(x^(2-9))	$lim_{x \to 3} \frac{x^{2} - 3 x}{x^{2 - 9}}$
35467	Evaluate the Limit	limit as x approaches 3 of (x^2-3x+1)/(x^2-x-1)	$lim_{x \to 3} \frac{x^{2} - 3 x + 1}{x^{2} - x - 1}$
35468	Evaluate the Limit	limit as x approaches -3 of (x^2-3x-18)/(x-6)	$lim_{x \to - 3} \frac{x^{2} - 3 x - 18}{x - 6}$
35469	Evaluate the Limit	limit as x approaches 3 of (x^2-1)/x	$lim_{x \to 3} \frac{x^{2} - 1}{x}$
35470	Evaluate the Limit	limit as x approaches 3 of (x^2-11x+24)/(x^2-9)	$lim_{x \to 3} \frac{x^{2} - 11 x + 24}{x^{2} - 9}$
35471	Evaluate the Limit	limit as x approaches 3 of (x^2-11x+30)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 11 x + 30}{x - 3}$
35472	Evaluate the Limit	limit as x approaches 3 of (x^2-25)/(x^2-5)	$lim_{x \to 3} \frac{x^{2} - 25}{x^{2} - 5}$
35473	Evaluate the Limit	limit as x approaches 3 of (x^2-2x-15)/(x^2-3x)	$lim_{x \to 3} \frac{x^{2} - 2 x - 15}{x^{2} - 3 x}$
35474	Evaluate the Limit	limit as x approaches -3 of (x^2-2x-15)/(x^2-9)	$lim_{x \to - 3} \frac{x^{2} - 2 x - 15}{x^{2} - 9}$
35475	Evaluate the Limit	limit as x approaches 3 of (x^2+x-12)/(x+3)	$lim_{x \to 3} \frac{x^{2} + x - 12}{x + 3}$
35476	Evaluate the Limit	limit as x approaches 3 of (x^2+x-20)/(x-4)	$lim_{x \to 3} \frac{x^{2} + x - 20}{x - 4}$
35477	Evaluate the Limit	limit as x approaches infinity of e^(-x)cos(x)	$lim_{x \to \infty} e^{- x} \cos (x)$
35478	Evaluate the Limit	limit as x approaches 3 of (x^2-8x+12)/((x-6)(x-3))	$lim_{x \to 3} \frac{x^{2} - 8 x + 12}{(x - 6) (x - 3)}$
35479	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/( square root of 2x^2+7-5)	$lim_{x \to 3} \frac{x^{2} - 9}{\sqrt{2 x^{2} + 7} - 5}$
35480	Evaluate the Integral	integral of xe^(9x) with respect to x	$\int x e^{9 x} d x$
35481	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/( square root of 3x-3)	$lim_{x \to 3} \frac{x^{2} - 9}{\sqrt{3 x} - 3}$
35482	Evaluate the Integral	integral from 0 to pi/2 of sin(x)^3 with respect to x	$\int_{0}^{\frac{π}{2}} \sin^{3} (x) d x$
35483	Evaluate the Limit	limit as x approaches -3 of (x^2-9)/(x^2+6(x)+9)	$lim_{x \to - 3} \frac{x^{2} - 9}{x^{2} + 6 (x) + 9}$
35484	Evaluate the Limit	limit as x approaches 3 of (x^2-9)/(x^2+x-12)	$lim_{x \to 3} \frac{x^{2} - 9}{x^{2} + x - 12}$
35485	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 9x^6-x)/(x^3+9)	$lim_{x \to - \infty} \frac{\sqrt{9 x^{6} - x}}{x^{3} + 9}$
35486	Evaluate the Limit	limit as x approaches 3 of (x^2-5x-4)/(x^2-5)	$lim_{x \to 3} \frac{x^{2} - 5 x - 4}{x^{2} - 5}$
35487	Evaluate the Limit	limit as x approaches 3 of (x^2-6x+9)/(x^3-3x^2)	$lim_{x \to 3} \frac{x^{2} - 6 x + 9}{x^{3} - 3 x^{2}}$
35488	Evaluate the Limit	limit as x approaches -3 of (x^2-5)/(3-x)	$lim_{x \to - 3} \frac{x^{2} - 5}{3 - x}$
35489	Evaluate the Limit	limit as x approaches 3 of (x^2-2x-3)/(x^2-4x+3)	$lim_{x \to 3} \frac{x^{2} - 2 x - 3}{x^{2} - 4 x + 3}$
35490	Evaluate the Limit	limit as x approaches 3 of (x^2-2x-3)/(x^(2-6x+9))	$lim_{x \to 3} \frac{x^{2} - 2 x - 3}{x^{2 - 6 x + 9}}$
35491	Evaluate the Limit	limit as x approaches -3 of (x^2-2x-3)/(2x^2+5x-3)	$lim_{x \to - 3} \frac{x^{2} - 2 x - 3}{2 x^{2} + 5 x - 3}$
35492	Evaluate the Limit	limit as x approaches 3 of (x^2-2x-6)/(x-3)	$lim_{x \to 3} \frac{x^{2} - 2 x - 6}{x - 3}$
35493	Evaluate the Limit	limit as x approaches 2 of (x^2-2x)/(x^2-4x+4)	$lim_{x \to 2} \frac{x^{2} - 2 x}{x^{2} - 4 x + 4}$
35494	Evaluate the Limit	limit as x approaches -3 of (x^3+3x-5x-15)/(x+3)	$lim_{x \to - 3} \frac{x^{3} + 3 x - 5 x - 15}{x + 3}$
35495	Evaluate the Limit	limit as x approaches 3 of (x^3+4x^2+20x)/(x^2+x-12)	$lim_{x \to 3} \frac{x^{3} + 4 x^{2} + 20 x}{x^{2} + x - 12}$
35496	Evaluate the Integral	integral from 2 to 14 of ydx with respect to x	$\int_{2}^{14} yds x d x$
35497	Evaluate the Limit	limit as x approaches 3 of (x^(2-8))/(x-2)	$lim_{x \to 3} \frac{x^{2 - 8}}{x - 2}$
35498	Evaluate the Limit	limit as x approaches 3 of (x^3-x^2-14x+24)/(2x^3-13x^2+17x+12)	$lim_{x \to 3} \frac{x^{3} - x^{2} - 14 x + 24}{2 x^{3} - 13 x^{2} + 17 x + 12}$
35499	Evaluate the Limit	limit as x approaches 3 of (x^3+x^2-33x+63)/(x^3-27x+54)	$lim_{x \to 3} \frac{x^{3} + x^{2} - 33 x + 63}{x^{3} - 27 x + 54}$
35500	Evaluate the Limit	limit as x approaches -3 of (x^3+2x^2-17x+15)/(x^2-x-6)	$lim_{x \to - 3} \frac{x^{3} + 2 x^{2} - 17 x + 15}{x^{2} - x - 6}$