List questions from limits-without-lhopital

Published on 05 Sep 2020 - 2:41

91

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Evaluating the limit: $\lim_{x\rightarrow\infty}\frac{(ax+b)^{n+2}}{(ex+d)^n}-\frac{a^{n+2}x^2}{e^n}-\frac{x(b^{n+2}e^n-a^{n+2}d^n)}{e^{2n}}$

Published on 07 Sep 2020 - 12:51

110

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Epsilon delta proof check

Published on 06 Apr 2026 - 14:14

24

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E-d with infinity

Published on 06 Apr 2026 - 14:13

87

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Square root and absolute value doubt for $\lim_{x \to\ 0} \frac{{x^2+x}}{4\sqrt{x^3+x^2}}$

Published on 10 Sep 2020 - 9:08

744

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How to determine if a function is differentiable

Published on 10 Sep 2020 - 10:13

119

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Why does $\lim_{x \to 0}\frac{\tan x -x}{x^3}=\lim_{x \to 0}\frac{\tan 2x -2x}{8x^3}$?

Published on 10 Sep 2020 - 19:07

61

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please use the the limit of difinition to prove the following:

Published on 06 Apr 2026 - 14:20

72

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Can I solve $\lim_{(x,y)\to\ (0,0)} \frac{x^2y^2}{x^2+x^2y^2+y^2}$ by converting to polar coordinates?

Published on 17 Sep 2020 - 5:54

836

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Infinite limit of a complex function

Published on 02 Apr 2026 - 19:32

53

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How do we calculate the following limit?

Published on 27 Mar 2026 - 10:09

109

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Evaluating $\lim_{x\to 0}(\frac{1}{\sin( x)} -\frac{1}{x})$ without L'Hôpital's rule

Published on 19 Sep 2020 - 0:42

89

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Difficult Limit Problem without L'hopital's rule

Published on 20 Sep 2020 - 16:11

87

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Why is $\lim_{x\rightarrow 1} \sin (x^2 - 1) / (x^2 - 1) = \lim_{x\rightarrow 0} \sin(x)/x$?

Published on 20 Sep 2020 - 19:03

40

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Calculus: limits, factorisation and cancelling because $x \neq -3$

Published on 22 Sep 2020 - 0:17

List Question

Which function grows faster asymptotically

Evaluating the limit: $\lim_{x\rightarrow\infty}\frac{(ax+b)^{n+2}}{(ex+d)^n}-\frac{a^{n+2}x^2}{e^n}-\frac{x(b^{n+2}e^n-a^{n+2}d^n)}{e^{2n}}$

Epsilon delta proof check

E-d with infinity

Square root and absolute value doubt for $\lim_{x \to\ 0} \frac{{x^2+x}}{4\sqrt{x^3+x^2}}$

How to determine if a function is differentiable

Why does $\lim_{x \to 0}\frac{\tan x -x}{x^3}=\lim_{x \to 0}\frac{\tan 2x -2x}{8x^3}$?

please use the the limit of difinition to prove the following:

Can I solve $\lim_{(x,y)\to\ (0,0)} \frac{x^2y^2}{x^2+x^2y^2+y^2}$ by converting to polar coordinates?

Infinite limit of a complex function

How do we calculate the following limit?

Evaluating $\lim_{x\to 0}(\frac{1}{\sin( x)} -\frac{1}{x})$ without L'Hôpital's rule

Difficult Limit Problem without L'hopital's rule

Why is $\lim_{x\rightarrow 1} \sin (x^2 - 1) / (x^2 - 1) = \lim_{x\rightarrow 0} \sin(x)/x$?

Calculus: limits, factorisation and cancelling because $x \neq -3$

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