Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
35901	Evaluate the Limit	limit as x approaches 3 of tan(pi/x)	$lim_{x \to 3} \tan (\frac{π}{x})$
35902	Evaluate the Limit	limit as x approaches 3 of tan((pix)/2)	$lim_{x \to 3} \tan (\frac{π x}{2})$
35903	Evaluate the Limit	limit as x approaches -3 of f(x)=27 , limit as x approaches -3 of log base 3 of f(x)	$lim_{x \to - 3} f (x) = 27$ , $lim_{x \to - 3} \log_{3} (f (x))$
35904	Evaluate the Limit	limit as x approaches negative infinity of (5x-2)/( square root of x^2+4)	$lim_{x \to - \infty} \frac{5 x - 2}{\sqrt{x^{2} + 4}}$
35905	Evaluate the Limit	limit as x approaches pi/3 of cot(3x)	$lim_{x \to \frac{π}{3}} \cot (3 x)$
35906	Evaluate the Limit	limit as x approaches 0 of (x^3-5x^2)/(x^2-4x)	$lim_{x \to 0} \frac{x^{3} - 5 x^{2}}{x^{2} - 4 x}$
35907	Evaluate the Limit	limit as x approaches 4 of (16x^2)/(4+3x-x^2)	$lim_{x \to 4} \frac{16 x^{2}}{4 + 3 x - x^{2}}$
35908	Evaluate the Limit	limit as x approaches 4 of (2x^2+5x-12)/(x+4)	$lim_{x \to 4} \frac{2 x^{2} + 5 x - 12}{x + 4}$
35909	Evaluate the Limit	limit as x approaches 4 of (2x^2-32)/(x^2-8x+16)	$lim_{x \to 4} \frac{2 x^{2} - 32}{x^{2} - 8 x + 16}$
35910	Evaluate the Limit	limit as x approaches 4 of (2x^2-32)/(x^3-4x^2)	$lim_{x \to 4} \frac{2 x^{2} - 32}{x^{3} - 4 x^{2}}$
35911	Evaluate the Limit	limit as x approaches -4 of (23-x)^(5/3)	$lim_{x \to - 4} {(23 - x)}^{\frac{5}{3}}$
35912	Evaluate the Limit	limit as x approaches 4 of (2x+8)/(x^2-16)	$lim_{x \to 4} \frac{2 x + 8}{x^{2} - 16}$
35913	Evaluate the Limit	limit as x approaches 4 of (3.999-4)/(3.999^2-3*3.999-4)	$lim_{x \to 4} \frac{3.999 - 4}{{3.999}^{2} - 3 \cdot 3.999 - 4}$
35914	Evaluate the Limit	limit as x approaches -4 of (3x+12)/(\|x+4\|)	$lim_{x \to - 4} \frac{3 x + 12}{\| x + 4 \|}$
35915	Evaluate the Limit	limit as x approaches 4 of (x^2-7x+12)/(x^2-16)	$lim_{x \to 4} \frac{x^{2} - 7 x + 12}{x^{2} - 16}$
35916	Evaluate the Limit	limit as x approaches 4 of (x^2-7x+12)/(x-4)	$lim_{x \to 4} \frac{x^{2} - 7 x + 12}{x - 4}$
35917	Evaluate the Limit	limit as x approaches 4 of (x^3+4x^2-24x-32)/(5x^3-22x^2+6x+8)	$lim_{x \to 4} \frac{x^{3} + 4 x^{2} - 24 x - 32}{5 x^{3} - 22 x^{2} + 6 x + 8}$
35918	Evaluate the Limit	limit as x approaches 4 of (x^2-3x-4)/(x^2-16)	$lim_{x \to 4} \frac{x^{2} - 3 x - 4}{x^{2} - 16}$
35919	Evaluate the Limit	limit as x approaches 4 of ( square root of x-3)/(x-9)	$lim_{x \to 4} \frac{\sqrt{x} - 3}{x - 9}$
35920	Find dp/dx	x = square root of 2000-p^2	$x = \sqrt{2000 - p^{2}}$
35921	Find the x and y Intercepts	f(x)=(x-3)(x^2-6x-18)	$f (x) = (x - 3) (x^{2} - 6 x - 18)$
35922	Evaluate the Limit	limit as x approaches 4 of ( fourth root of x-2)/( square root of x-4)	$lim_{x \to 4} \frac{\sqrt[4]{x} - 2}{\sqrt{x} - 4}$
35923	Find the x and y Intercepts	square root of x+1	$\sqrt{x + 1}$
35924	Evaluate the Limit	limit as x approaches 4 of (x^2-25)/(x+5)	$lim_{x \to 4} \frac{x^{2} - 25}{x + 5}$
35925	Evaluate the Limit	limit as x approaches 4 of (x^2-2x-24)/(x+4)	$lim_{x \to 4} \frac{x^{2} - 2 x - 24}{x + 4}$
35926	Find the Derivative - d/d@VAR	f(x)=arccot(3x^2-1)	$f (x) = arccot (3 x^{2} - 1)$
35927	Evaluate the Limit	limit as x approaches 4 of (x^2-3x-4)/(x^2-7x+12)	$lim_{x \to 4} \frac{x^{2} - 3 x - 4}{x^{2} - 7 x + 12}$
35928	Evaluate the Limit	limit as x approaches 4 of ( square root of 5x-4-4)/(x-4)	$lim_{x \to 4} \frac{\sqrt{5 x - 4} - 4}{x - 4}$
35929	Evaluate the Limit	limit as x approaches 4 of (2^x-16)/(x-4)	$lim_{x \to 4} \frac{2^{x} - 16}{x - 4}$
35930	Evaluate the Limit	limit as x approaches -4 of 7x+12	$lim_{x \to - 4} 7 x + 12$
35931	Find the Derivative - d/dx	y = natural log of square root of x+3	$y = \ln (\sqrt{x + 3})$
35932	Evaluate the Limit	limit as x approaches 4 of 9x-36	$lim_{x \to 4} 9 x - 36$
35933	Evaluate the Limit	limit as x approaches -4 of -9x-8	$lim_{x \to - 4} - 9 x - 8$
35934	Evaluate the Limit	limit as x approaches 4 of g(x)+3	$lim_{x \to 4} g (x) + 3$
35935	Evaluate the Limit	limit as x approaches -4 of -x^2+8x-1	$lim_{x \to - 4} - x^{2} + 8 x - 1$
35936	Evaluate the Limit	limit as x approaches 4 of x^2-3x+7	$lim_{x \to 4} x^{2} - 3 x + 7$
35937	Evaluate the Limit	limit as x approaches 4 of -x^2-9x-8	$lim_{x \to 4} - x^{2} - 9 x - 8$
35938	Evaluate the Limit	limit as x approaches 4 of (x^2-x-2) square root of x	$lim_{x \to 4} (x^{2} - x - 2) \sqrt{x}$
35939	Evaluate the Limit	limit as x approaches 4 of x^4-5x^2+2	$lim_{x \to 4} x^{4} - 5 x^{2} + 2$
35940	Evaluate the Limit	limit as x approaches -4 of (x+4)/(x^2+12x+32)	$lim_{x \to - 4} \frac{x + 4}{x^{2} + 12 x + 32}$
35941	Evaluate the Limit	limit as x approaches -4 of (x+4)/(-5x^2+80)	$lim_{x \to - 4} \frac{x + 4}{- 5 x^{2} + 80}$
35942	Evaluate the Limit	limit as x approaches 4 of (x-2)/x	$lim_{x \to 4} \frac{x - 2}{x}$
35943	Evaluate the Limit	limit as x approaches 4 of ((2x-5)^5-243)/((5x-12)^3-(x+4)^3)	$lim_{x \to 4} \frac{{(2 x - 5)}^{5} - 243}{{(5 x - 12)}^{3} - {(x + 4)}^{3}}$
35944	Evaluate the Limit	limit as x approaches 4 of log base 2 of x	$lim_{x \to 4} \log_{2} (x)$
35945	Evaluate the Limit	limit as x approaches 4 of 13(x)-1x	$lim_{x \to 4} 13 (x) - 1 x$
35946	Evaluate the Limit	limit as x approaches 4 of 9f(x)+f(x)	$lim_{x \to 4} 9 f (x) + f (x)$
35947	Evaluate the Limit	limit as x approaches 4 of g(27)*(f(9))	$lim_{x \to 4} g (27) \cdot (f (9))$
35948	Find the Derivative - d/dx	y = log of 8x	$y = \log (8 x)$
35949	Evaluate the Limit	limit as x approaches 4 of (3.9^3-16*3.9)/(3.9-4)	$lim_{x \to 4} \frac{{3.9}^{3} - 16 \cdot 3.9}{3.9 - 4}$
35950	Evaluate the Limit	limit as x approaches 4 of (3.900^3-16*3.900)/3.900-4	$lim_{x \to 4} \frac{{3.9}^{3} - 16 \cdot 3.9}{3.9} - 4$
35951	Evaluate the Limit	limit as x approaches 4 of (3x^2-8x-16)/(2x^2-9x+4)	$lim_{x \to 4} \frac{3 x^{2} - 8 x - 16}{2 x^{2} - 9 x + 4}$
35952	Evaluate the Limit	limit as x approaches 4 of (4.001^3-16*4.001)/(4.001-4)	$lim_{x \to 4} \frac{{4.001}^{3} - 16 \cdot 4.001}{4.001 - 4}$
35953	Evaluate the Limit	limit as x approaches -4 of (e^x)/((x-4)^3)	$lim_{x \to - 4} \frac{e^{x}}{{(x - 4)}^{3}}$
35954	Evaluate the Limit	limit as x approaches 9 of (x-9)/(x^2-9x)	$lim_{x \to 9} \frac{x - 9}{x^{2} - 9 x}$
35955	Evaluate the Limit	limit as x approaches 4 of (v(3.999)+2)/((3.999)-4)	$lim_{x \to 4} \frac{v (3.999) + 2}{(3.999) - 4}$
35956	Evaluate the Limit	limit as x approaches negative infinity of 6/x-x/9	$lim_{x \to - \infty} \frac{6}{x} - \frac{x}{9}$
35957	Evaluate the Limit	limit as x approaches 4 of (f(x))^(2/3)	$lim_{x \to 4} {(f (x))}^{\frac{2}{3}}$
35958	Evaluate the Limit	limit as x approaches 4 of ((x-2)^2)/(x-4)	$lim_{x \to 4} \frac{{(x - 2)}^{2}}{x - 4}$
35959	Evaluate the Limit	limit as x approaches 4 of (\|4-x\|)/(4-x)	$lim_{x \to 4} \frac{\| 4 - x \|}{4 - x}$
35960	Evaluate the Limit	limit as x approaches -4 of (\|x\|)/x	$lim_{x \to - 4} \frac{\| x \|}{x}$
35961	Find the Derivative - d/dx	y = square root of cos(2x)	$y = \sqrt{\cos (2 x)}$
35962	Evaluate the Limit	limit as x approaches 4 of (x-2)/((x-4)^3)	$lim_{x \to 4} \frac{x - 2}{{(x - 4)}^{3}}$
35963	Evaluate the Limit	limit as x approaches -4 of (x+2)/(\|x\|-4)	$lim_{x \to - 4} \frac{x + 2}{\| x \| - 4}$
35964	Evaluate the Limit	limit as x approaches 4 of (4x^2-64)/(x-4)	$lim_{x \to 4} \frac{4 x^{2} - 64}{x - 4}$
35965	Evaluate the Limit	limit as x approaches 4 of (4x^3-256)/(x-4)	$lim_{x \to 4} \frac{4 x^{3} - 256}{x - 4}$
35966	Find the Derivative - d/dx	cos(x^6)	$\cos (x^{6})$
35967	Evaluate the Limit	limit as x approaches -4 of (4-x)^(7/3)	$lim_{x \to - 4} {(4 - x)}^{\frac{7}{3}}$
35968	Evaluate the Limit	limit as x approaches 4 of (5x^3-320)/(x+4)	$lim_{x \to 4} \frac{5 x^{3} - 320}{x + 4}$
35969	Evaluate the Limit	limit as x approaches 4 of (6y-1)/(2y+9)	$lim_{x \to 4} \frac{6 y - 1}{2 y + 9}$
35970	Evaluate the Limit	limit as x approaches 4 of (8 square root of x-x^2)/(8-4 square root of xc)	$lim_{x \to 4} \frac{8 \sqrt{x} - x^{2}}{8 - 4 \sqrt{x} c}$
35971	Evaluate the Limit	limit as x approaches 4 of (x^4+3x-2)/(x^2+16)	$lim_{x \to 4} \frac{x^{4} + 3 x - 2}{x^{2} + 16}$
35972	Evaluate the Limit	limit as x approaches 4 of (x^4-256)/(x^3+64)	$lim_{x \to 4} \frac{x^{4} - 256}{x^{3} + 64}$
35973	Evaluate the Limit	limit as x approaches 4 of (x-4)/( square root of x- square root of 2)	$lim_{x \to 4} \frac{x - 4}{\sqrt{x} - \sqrt{2}}$
35974	Evaluate the Limit	limit as x approaches 4 of ( square root of 20-x-4)/( square root of 29-x-5)	$lim_{x \to 4} \frac{\sqrt{20 - x} - 4}{\sqrt{29 - x} - 5}$
35975	Evaluate the Limit	limit as x approaches 4 of ( square root of 3x(x-4))/(\|x-4\|)	$lim_{x \to 4} \frac{\sqrt{3 x} (x - 4)}{\| x - 4 \|}$
35976	Evaluate the Limit	limit as x approaches 4 of ( square root of 4+x-2)/x	$lim_{x \to 4} \frac{\sqrt{4 + x - 2}}{x}$
35977	Evaluate the Limit	limit as x approaches 4 of ( square root of x-7)/(x-49)	$lim_{x \to 4} \frac{\sqrt{x} - 7}{x - 49}$
35978	Find the Derivative - d/dx	x+6/x	$x + \frac{6}{x}$
35979	Evaluate the Limit	limit as x approaches 4 of (x^2+2x-24)/(x-4)	$lim_{x \to 4} \frac{x^{2} + 2 x - 24}{x - 4}$
35980	Evaluate the Limit	limit as x approaches 4 of (x^2+2x-35)/(x-7)	$lim_{x \to 4} \frac{x^{2} + 2 x - 35}{x - 7}$
35981	Evaluate the Limit	limit as x approaches 4 of (x^2+5x-36)/(x^2-9x+20)	$lim_{x \to 4} \frac{x^{2} + 5 x - 36}{x^{2} - 9 x + 20}$
35982	Evaluate the Limit	limit as x approaches 4 of (x/(x-1)-4/5)/(x-4)	$lim_{x \to 4} \frac{\frac{x}{x - 1} - \frac{4}{5}}{x - 4}$
35983	Evaluate the Limit	limit as x approaches 4 of (x^1.5-4x^0.5)/(x^1.5-2x)	$lim_{x \to 4} \frac{x^{1.5} - 4 x^{0.5}}{x^{1.5} - 2 x}$
35984	Evaluate the Limit	limit as x approaches 4 of (x^2)/(x^2+16)	$lim_{x \to 4} \frac{x^{2}}{x^{2} + 16}$
35985	Evaluate the Limit	limit as x approaches -4 of (x^2)/(x+4)	$lim_{x \to - 4} \frac{x^{2}}{x + 4}$
35986	Evaluate the Limit	limit as x approaches 4 of ( square root of x-4)/(x- square root of 16)	$lim_{x \to 4} \frac{\sqrt{x - 4}}{x - \sqrt{16}}$
35987	Evaluate the Limit	limit as x approaches 4 of ( square root of x+5-3)/(x-4)	$lim_{x \to 4} \frac{\sqrt{x + 5 - 3}}{x - 4}$
35988	Evaluate the Limit	limit as x approaches infinity of 1/x-(5x)/(x+2)	$lim_{x \to \infty} \frac{1}{x} - \frac{5 x}{x + 2}$
35989	Evaluate the Limit	limit as x approaches 0 of (sin(x))/( cube root of x)	$lim_{x \to 0} \frac{\sin (x)}{\sqrt[3]{x}}$
35990	Evaluate the Limit	limit as x approaches -3.2 of 5	$lim_{x \to - 3.2} 5$
35991	Evaluate the Limit	limit as x approaches -3.3 of x	$lim_{x \to - 3.3} x$
35992	Evaluate the Limit	limit as x approaches 3.7 of 0	$lim_{x \to 3.7} 0$
35993	Evaluate the Limit	limit as x approaches 3.75 of arcsin(x/3.75)	$lim_{x \to 3.75} \arcsin (\frac{x}{3.75})$
35994	Evaluate the Limit	limit as x approaches 3.8 of (2- square root of x)/(4-x)	$lim_{x \to 3.8} \frac{2 - \sqrt{x}}{4 - x}$
35995	Evaluate the Limit	limit as x approaches 3.8 of 4x^2	$lim_{x \to 3.8} 4 x^{2}$
35996	Evaluate the Limit	limit as x approaches 3.9 of (x-4)/( square root of x-2)	$lim_{x \to 3.9} \frac{x - 4}{\sqrt{x} - 2}$
35997	Evaluate the Limit	limit as x approaches 3.9 of (2- square root of x)/(4-x)	$lim_{x \to 3.9} \frac{2 - \sqrt{x}}{4 - x}$
35998	Evaluate the Limit	limit as x approaches 3.9 of x^2+ square root of 7-x	$lim_{x \to 3.9} x^{2} + \sqrt{7 - x}$
35999	Evaluate the Limit	limit as x approaches -3.900 of (x^3-16x)/(x+4)	$lim_{x \to - 3.9} \frac{x^{3} - 16 x}{x + 4}$
36000	Evaluate the Limit	limit as x approaches 3.99 of (x^3-16x)/(x-4)	$lim_{x \to 3.99} \frac{x^{3} - 16 x}{x - 4}$