Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
31801	Evaluate the Limit	( limit as x approaches -3 of x^2+11x+24)/(x^2-4x-21)	$\frac{lim_{x \to - 3} x^{2} + 11 x + 24}{x^{2} - 4 x - 21}$
31802	Simplify	square root of 0.9	$\sqrt{0.9}$
31803	Simplify	(y^3-1/(4y^3))^2	${(y^{3} - \frac{1}{4 y^{3}})}^{2}$
31804	Evaluate the Limit	( limit as x approaches 3 of x^2+6x-27)/(x-3)	$\frac{lim_{x \to 3} x^{2} + 6 x - 27}{x - 3}$
31805	Evaluate the Limit	( limit as x approaches 3 of -x^2+7x-12)/(x-3)	$\frac{lim_{x \to 3} - x^{2} + 7 x - 12}{x - 3}$
31806	Evaluate the Limit	( limit as x approaches 3 of x+3)/((x-3)^2)	$\frac{lim_{x \to 3} x + 3}{{(x - 3)}^{2}}$
31807	Evaluate	arcsec(- square root of 2)	$arcsec (- \sqrt{2})$
31808	Evaluate the Limit	( limit as x approaches 3 of x+3)/(x^2+7x+12)	$\frac{lim_{x \to 3} x + 3}{x^{2} + 7 x + 12}$
31809	Evaluate	tan(6)	$\tan (6)$
31810	Evaluate	30e^(-0.3*5)	$30 e^{- 0.3 \cdot 5}$
31811	Evaluate the Limit	( limit as x approaches 3 of x-3)/( square root of 9x^2+1)	$\frac{lim_{x \to 3} x - 3}{\sqrt{9 x^{2} + 1}}$
31812	Evaluate the Limit	( limit as x approaches 3 of x^2-4)/(x-2)	$\frac{lim_{x \to 3} x^{2} - 4}{x - 2}$
31813	Evaluate the Limit	( limit as x approaches 3 of x^2-5x+6)/(x^2-9)	$\frac{lim_{x \to 3} x^{2} - 5 x + 6}{x^{2} - 9}$
31814	Evaluate the Limit	( limit as x approaches 3.5 of 3x-2)/(5x-1)	$\frac{lim_{x \to 3.5} 3 x - 2}{5 x - 1}$
31815	Evaluate the Limit	( limit as x approaches 3.990 of x^3-16x)/(x-4)	$\frac{lim_{x \to 3.99} x^{3} - 16 x}{x - 4}$
31816	Evaluate the Limit	( limit as x approaches 3pi of cos(x)+1)/(x-3pi)	$\frac{lim_{x \to 3 π} \cos (x) + 1}{x - 3 π}$
31817	Evaluate the Limit	( limit as x approaches 4 of 2^x-16)/(sin(pix))	$\frac{lim_{x \to 4} 2^{x} - 16}{\sin (π x)}$
31818	Evaluate the Limit	( limit as x approaches 4 of 2^x-16)/(x-4)	$\frac{lim_{x \to 4} 2^{x} - 16}{x - 4}$
31819	Evaluate the Limit	( limit as x approaches 3 of x^3+x^2-21x+45)/(x^3+6x^2+9x)	$\frac{lim_{x \to 3} x^{3} + x^{2} - 21 x + 45}{x^{3} + 6 x^{2} + 9 x}$
31820	Evaluate the Limit	( limit as x approaches 3 of x^3-27)/(x^2+9)	$\frac{lim_{x \to 3} x^{3} - 27}{x^{2} + 9}$
31821	Evaluate the Limit	( limit as x approaches 3 of x^3-7x-6)/(2x^3-11x^2+12x+9)	$\frac{lim_{x \to 3} x^{3} - 7 x - 6}{2 x^{3} - 11 x^{2} + 12 x + 9}$
31822	Evaluate the Limit	( limit as x approaches 3 of x^3-9)/(x-3)	$\frac{lim_{x \to 3} x^{3} - 9}{x - 3}$
31823	Evaluate the Integral	integral of x^2-3x+3 with respect to x	$\int x^{2} - 3 x + 3 d x$
31824	Evaluate the Limit	( limit as x approaches -3 of x^4-81)/(x^2+8x+15)	$\frac{lim_{x \to - 3} x^{4} - 81}{x^{2} + 8 x + 15}$
31825	Evaluate the Limit	( limit as x approaches 3 of x^(4-81))/(2x^2-5x-3)	$\frac{lim_{x \to 3} x^{4 - 81}}{2 x^{2} - 5 x - 3}$
31826	Evaluate the Limit	( limit as x approaches 3 of x^n-3^n)/(x-3)	$\frac{lim_{x \to 3} x^{n} - 3^{n}}{x - 3}$
31827	Evaluate the Limit	( limit as x approaches 3 of (1)( square root of x+1)-( square root of 3-1))/(x-3)	$\frac{lim_{x \to 3} (1) (\sqrt{x + 1}) - (\sqrt{3 - 1})}{x - 3}$
31828	Evaluate the Limit	( limit as x approaches 3 of 2x^3-54)/(x-3)	$\frac{lim_{x \to 3} 2 x^{3} - 54}{x - 3}$
31829	Evaluate the Limit	( limit as x approaches 3 of 2x-1)/((x-3)^2)	$\frac{lim_{x \to 3} 2 x - 1}{{(x - 3)}^{2}}$
31830	Evaluate the Limit	( limit as x approaches 3 of 2x-6)/(x^2-9)	$\frac{lim_{x \to 3} 2 x - 6}{x^{2} - 9}$
31831	Evaluate the Limit	( limit as x approaches 3 of 3x^2-2x-21)/(x-3)	$\frac{lim_{x \to 3} 3 x^{2} - 2 x - 21}{x - 3}$
31832	Evaluate the Limit	( limit as x approaches -3 of -3x-33)/(x^3+11x^2)	$\frac{lim_{x \to - 3} - 3 x - 33}{x^{3} + 11 x^{2}}$
31833	Evaluate the Limit	( limit as x approaches 3 of 4(x+2)(x-3))/((x-1)(x-3))	$\frac{lim_{x \to 3} 4 (x + 2) (x - 3)}{(x - 1) (x - 3)}$
31834	Evaluate the Limit	( limit as x approaches 3 of (4x^2+kx)+7k-x)/(2x^2-5x-3)	$\frac{lim_{x \to 3} (4 x^{2} + k x) + 7 k - x}{2 x^{2} - 5 x - 3}$
31835	Evaluate the Limit	limit as x approaches -3 of (e)^(x^2-9)	$lim_{x \to - 3} {(e)}^{x^{2} - 9}$
31836	Evaluate the Limit	( limit as x approaches 3 of f(x)+g(x))/(4g(x))	$\frac{lim_{x \to 3} f (x) + g (x)}{4 g (x)}$
31837	Evaluate the Limit	( limit as x approaches 3 of g(x)-g*3)/(x-3)	$\frac{lim_{x \to 3} g (x) - g \cdot 3}{x - 3}$
31838	Evaluate the Limit	( limit as x approaches 3 of sin(2x-6))/(x^2-9)	$\frac{lim_{x \to 3} \sin (2 x - 6)}{x^{2} - 9}$
31839	Evaluate the Limit	( limit as x approaches 3 of sin(x-3))/(3x-9)	$\frac{lim_{x \to 3} \sin (x - 3)}{3 x - 9}$
31840	Evaluate the Limit	( limit as x approaches 3 of t-3)/(t^2-3)	$\frac{lim_{x \to 3} t - 3}{t^{2} - 3}$
31841	Evaluate the Limit	( limit as x approaches 3 from the left of x)/(x-3)	$\frac{lim_{x \to 3} x}{x - 3}$
31842	Evaluate the Limit	( limit as x approaches 8 of 4x^3+2)/(x^3+ square root of 4x^6+1)	$\frac{lim_{x \to 8} 4 x^{3} + 2}{x^{3} + \sqrt{4 x^{6} + 1}}$
31843	Evaluate the Limit	( limit as x approaches 8 of 4x^3-6x^2+3)/(5x^3+7x^2-9)	$\frac{lim_{x \to 8} 4 x^{3} - 6 x^{2} + 3}{5 x^{3} + 7 x^{2} - 9}$
31844	Evaluate the Limit	( limit as x approaches -8 of 4x^8-7)/(8x^8-5x^2+6)	$\frac{lim_{x \to - 8} 4 x^{8} - 7}{8 x^{8} - 5 x^{2} + 6}$
31845	Evaluate the Limit	( limit as x approaches 8 of 5x^5-4x^3)/(4x^6+5)	$\frac{lim_{x \to 8} 5 x^{5} - 4 x^{3}}{4 x^{6} + 5}$
31846	Evaluate the Limit	( limit as x approaches 8 of 5+10x)/(1-3x)	$\frac{lim_{x \to 8} 5 + 10 x}{1 - 3 x}$
31847	Evaluate the Limit	( limit as x approaches 8 of 7x-56)/(8x-64)	$\frac{lim_{x \to 8} 7 x - 56}{8 x - 64}$
31848	Evaluate the Limit	( limit as x approaches -8 of 8x^2-10x-5)/(4x^4+1)	$\frac{lim_{x \to - 8} 8 x^{2} - 10 x - 5}{4 x^{4} + 1}$
31849	Evaluate the Limit	( limit as x approaches 8 of 9x^4+7x^2+3x)/(4x^5+3x-12)	$\frac{lim_{x \to 8} 9 x^{4} + 7 x^{2} + 3 x}{4 x^{5} + 3 x - 12}$
31850	Evaluate the Limit	( limit as x approaches -8 of x-(x-3))/(7-x^2)	$\frac{lim_{x \to - 8} x - (x - 3)}{7 - x^{2}}$
31851	Evaluate the Limit	( limit as x approaches 8 of x+x^3+x^5)/(1-x^2+x^4)	$\frac{lim_{x \to 8} x + x^{3} + x^{5}}{1 - x^{2} + x^{4}}$
31852	Evaluate the Limit	( limit as x approaches 8 of x-5)/(x^2+5x-2)	$\frac{lim_{x \to 8} x - 5}{x^{2} + 5 x - 2}$
31853	Evaluate the Limit	( limit as x approaches 8 of (x^2-63)^8-1)/(x-8)	$\frac{lim_{x \to 8} {(x^{2} - 63)}^{8} - 1}{x - 8}$
31854	Evaluate the Limit	( limit as x approaches 8 of 3x^2+5x-7)/(5x^2-4x+1)	$\frac{lim_{x \to 8} 3 x^{2} + 5 x - 7}{5 x^{2} - 4 x + 1}$
31855	Evaluate the Limit	( limit as x approaches -8 of cube root of x- ninth root of x)/(3* cube root of x+ ninth root of x)	$\frac{lim_{x \to - 8} \sqrt[3]{x} - \sqrt[9]{x}}{3 \cdot \sqrt[3]{x} + \sqrt[9]{x}}$
31856	Evaluate the Limit	( limit as x approaches 8 of x^2-3x)/(5x^2-12)	$\frac{lim_{x \to 8} x^{2} - 3 x}{5 x^{2} - 12}$
31857	Evaluate the Limit	( limit as x approaches 8 of x^4-6x^2+x)/(x^3-x+3)	$\frac{lim_{x \to 8} x^{4} - 6 x^{2} + x}{x^{3} - x + 3}$
31858	Evaluate the Limit	( limit as x approaches 8 of x^5-3x^2+7)/(2x^4-5x^5+1)	$\frac{lim_{x \to 8} x^{5} - 3 x^{2} + 7}{2 x^{4} - 5 x^{5} + 1}$
31859	Evaluate the Limit	( limit as x approaches 8 of 1-x^4)/(1+x^8)	$\frac{lim_{x \to 8} 1 - x^{4}}{1 + x^{8}}$
31860	Evaluate the Summation	sum from k=5 to 8 of (-1)^k(4k-5)	$\sum_{k = 5}^{8} {(- 1)}^{k} (4 k - 5)$
31861	Evaluate the Limit	limit as x approaches 8 of (1+e^x)^0	$lim_{x \to 8} {(1 + e^{x})}^{0}$
31862	Evaluate the Limit	( limit as x approaches 6 of x^2+6x-16)/(x^2-4)	$\frac{lim_{x \to 6} x^{2} + 6 x - 16}{x^{2} - 4}$
31863	Evaluate the Limit	( limit as x approaches 6 of x^2-12x+36)/(x^4-1296)	$\frac{lim_{x \to 6} x^{2} - 12 x + 36}{x^{4} - 1296}$
31864	Evaluate the Limit	( limit as x approaches 6 of x^2*(2x)-48)/(x^2-36)	$\frac{lim_{x \to 6} x^{2} \cdot (2 x) - 48}{x^{2} - 36}$
31865	Evaluate the Limit	( limit as x approaches 6 of x^2-8x+15)/(x-6)	$\frac{lim_{x \to 6} x^{2} - 8 x + 15}{x - 6}$
31866	Evaluate the Limit	limit as x approaches 0 of (2x+tan(3x))/(5x-tan(4x))	$lim_{x \to 0} \frac{2 x + \tan (3 x)}{5 x - \tan (4 x)}$
31867	Evaluate the Limit	( limit as x approaches 6 of -2x+12)/(x+6)	$\frac{lim_{x \to 6} - 2 x + 12}{x + 6}$
31868	Evaluate the Limit	( limit as x approaches 6 of 4)/(x-6)	$\frac{lim_{x \to 6} 4}{x - 6}$
31869	Evaluate the Limit	( limit as x approaches 6 of 5x^2-4x+78)/(x-6)	$\frac{lim_{x \to 6} 5 x^{2} - 4 x + 78}{x - 6}$
31870	Evaluate the Limit	( limit as x approaches 6 of -6x^2+36x)/(x-6)	$\frac{lim_{x \to 6} - 6 x^{2} + 36 x}{x - 6}$
31871	Evaluate the Limit	( limit as x approaches 6 of 6-x)/(\|36-x^2\|)	$\frac{lim_{x \to 6} 6 - x}{\| 36 - x^{2} \|}$
31872	Evaluate the Limit	( limit as x approaches 6 of sin(x-6))/(x^2+2x-48)	$\frac{lim_{x \to 6} \sin (x - 6)}{x^{2} + 2 x - 48}$
31873	Evaluate the Limit	( limit as x approaches 6 of x-6)/(x^3-216)	$\frac{lim_{x \to 6} x - 6}{x^{3} - 216}$
31874	Evaluate the Limit	( limit as x approaches 60 of square root of x+4-8)/(x-60)	$\frac{lim_{x \to 60} \sqrt{x + 4} - 8}{x - 60}$
31875	Evaluate the Limit	( limit as x approaches 64 of 64-x)/(8- square root of x)	$\frac{lim_{x \to 64} 64 - x}{8 - \sqrt{x}}$
31876	Evaluate the Limit	( limit as x approaches 6pi of sin(x)^2)/(x-6x)	$\frac{lim_{x \to 6 π} \sin^{2} (x)}{x - 6 x}$
31877	Evaluate the Limit	( limit as x approaches 5 of x-7)/(x(x-5)^2)	$\frac{lim_{x \to 5} x - 7}{x {(x - 5)}^{2}}$
31878	Evaluate the Limit	( limit as x approaches 5 from the right of -3)/((x-5)^3)	$\frac{lim_{x \to 5} - 3}{{(x - 5)}^{3}}$
31879	Evaluate the Limit	( limit as x approaches 6 of 1/t-1/6)/(t-6)	$\frac{lim_{x \to 6} \frac{1}{t} - \frac{1}{6}}{t - 6}$
31880	Evaluate the Limit	( limit as x approaches 6 of x^2-12x+36)/(x-6)	$\frac{lim_{x \to 6} x^{2} - 12 x + 36}{x - 6}$
31881	Evaluate the Limit	( limit as x approaches 6 of x^2-4x-12)/(x^2+5x-6)	$\frac{lim_{x \to 6} x^{2} - 4 x - 12}{x^{2} + 5 x - 6}$
31882	Evaluate the Limit	( limit as x approaches 6 of x^2-6x)/(x^2-36)	$\frac{lim_{x \to 6} x^{2} - 6 x}{x^{2} - 36}$
31883	Evaluate the Limit	( limit as x approaches 6 of x^4-1296)/(x-6)	$\frac{lim_{x \to 6} x^{4} - 1296}{x - 6}$
31884	Evaluate the Limit	limit as x approaches -6 of (2-x)^(4/3)	$lim_{x \to - 6} {(2 - x)}^{\frac{4}{3}}$
31885	Evaluate the Limit	limit as x approaches infinity of (( natural log of x)^2)/(3x)	$lim_{x \to \infty} \frac{\ln^{2} (x)}{3 x}$
31886	Evaluate the Limit	( limit as x approaches -5 of x^2+5x)/(\|x\|-5)	$\frac{lim_{x \to - 5} x^{2} + 5 x}{\| x \| - 5}$
31887	Evaluate the Limit	( limit as x approaches 5 of x^2-25)/(x^2-10x+25)	$\frac{lim_{x \to 5} x^{2} - 25}{x^{2} - 10 x + 25}$
31888	Evaluate the Limit	( limit as x approaches 5 of x^2-25)/(5-x)	$\frac{lim_{x \to 5} x^{2} - 25}{5 - x}$
31889	Evaluate the Limit	( limit as x approaches 7 of x^2-4x-21)/(x-7)	$\frac{lim_{x \to 7} x^{2} - 4 x - 21}{x - 7}$
31890	Evaluate the Limit	( limit as x approaches -7 of x^3+343)/(x+7)	$\frac{lim_{x \to - 7} x^{3} + 343}{x + 7}$
31891	Evaluate the Limit	( limit as x approaches 7 of 11x-11)/(220x^2-824x-604)	$\frac{lim_{x \to 7} 11 x - 11}{220 x^{2} - 824 x - 604}$
31892	Evaluate the Limit	( limit as x approaches 7 of x+ square root of x-6)/(x^2-2x+1)	$\frac{lim_{x \to 7} x + \sqrt{x - 6}}{x^{2} - 2 x + 1}$
31893	Evaluate the Limit	( limit as x approaches 7 of square root of 4+3x-5)/(x-7)	$\frac{lim_{x \to 7} \sqrt{4 + 3 x - 5}}{x - 7}$
31894	Evaluate the Limit	( limit as x approaches 7 of square root of x- square root of 7)/( square root of x+7- square root of 14)	$\frac{lim_{x \to 7} \sqrt{x} - \sqrt{7}}{\sqrt{x + 7} - \sqrt{14}}$
31895	Evaluate the Limit	( limit as x approaches 6 of x-6)/(\|x-6\|)	$\frac{lim_{x \to 6} x - 6}{\| x - 6 \|}$
31896	Evaluate the Limit	( limit as x approaches 6 of \|x\|)/x	$\frac{lim_{x \to 6} \| x \|}{x}$
31897	Evaluate the Limit	( limit as x approaches 6 of \|x-6\|)/(x-6)	$\frac{lim_{x \to 6} \| x - 6 \|}{x - 6}$
31898	Evaluate the Limit	( limit as x approaches 6 of square root of x+3-3)/(x-6)	$\frac{lim_{x \to 6} \sqrt{x + 3} - 3}{x - 6}$
31899	Evaluate the Integral	integral of 2xsin(x) with respect to x	$\int 2 x \sin (x) d x$
31900	Evaluate the Limit	( limit as x approaches 5 of x^2-5x)/(x-5)	$\frac{lim_{x \to 5} x^{2} - 5 x}{x - 5}$