List questions from limits-without-lhopital

Published on 31 Aug 2017 - 12:14

1.6k

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Determine if g(f(x)) is continuous at x = 0

Published on 26 Mar 2026 - 4:51

135

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What happens to a one-sided limit for $f(x^2)$?

Published on 01 Sep 2017 - 4:37

86

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By using the definition of $e$, prove that $\lim_{x\to\infty} \left(\frac{3+2x}{5+2x}\right)^x = \frac1e$

Published on 01 Sep 2017 - 6:09

875

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Prove that $\lim\limits_{(x,y)\to (0,0)} \frac{\sin(xy)}{xy}$ exists, using $(\epsilon ,\delta)$-argument

Published on 04 Apr 2026 - 23:08

372

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Evaluating $ \lim\limits_{x\to 0} \left(\frac{x^4 + 2 x^3 + x^2}{{\tan}^{-1} x}\right)$

Published on 02 Apr 2026 - 3:07

250

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Evaluate limit of $\lim_{x \to \infty}\frac{x^x}{\left(x+2\right)^x}$

Published on 03 Sep 2017 - 10:19

2.2k

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Limit Inverse Trigonometric function

Published on 01 Apr 2026 - 14:49

73

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Evaluation of limit

Published on 03 Sep 2017 - 20:04

10.6k

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How can e^x seemingly approach 0+ as x approaches negative infinity?

Published on 04 Sep 2017 - 3:45

96

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A limit with $x^{x^x}$

Published on 05 Sep 2017 - 18:08

271

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Evaluate $ \lim_{x\to \pi/2} \frac{\sqrt{1+\cos(2x)}}{\sqrt{\pi}-\sqrt{2x}}$

Published on 08 Sep 2017 - 12:32

50

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Infinite Limit Approaches

Published on 10 Sep 2017 - 3:07

90

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Calculate $\lim\limits_{x\to 4}\frac{2x\sqrt{x}+x-8\sqrt{x}-4}{x+\sqrt{x}-6}$ by just factoring

Published on 10 Sep 2017 - 14:44

2k

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Finding limiting position of a point on a a graph.

Published on 11 Sep 2017 - 14:51

List Question

Complications Limits of Powers

Determine if g(f(x)) is continuous at x = 0

What happens to a one-sided limit for $f(x^2)$?

By using the definition of $e$, prove that $\lim_{x\to\infty} \left(\frac{3+2x}{5+2x}\right)^x = \frac1e$

Prove that $\lim\limits_{(x,y)\to (0,0)} \frac{\sin(xy)}{xy}$ exists, using $(\epsilon ,\delta)$-argument

Evaluating $ \lim\limits_{x\to 0} \left(\frac{x^4 + 2 x^3 + x^2}{{\tan}^{-1} x}\right)$

Evaluate limit of $\lim_{x \to \infty}\frac{x^x}{\left(x+2\right)^x}$

Limit Inverse Trigonometric function

Evaluation of limit

How can e^x seemingly approach 0+ as x approaches negative infinity?

A limit with $x^{x^x}$

Evaluate $ \lim_{x\to \pi/2} \frac{\sqrt{1+\cos(2x)}}{\sqrt{\pi}-\sqrt{2x}}$

Infinite Limit Approaches

Calculate $\lim\limits_{x\to 4}\frac{2x\sqrt{x}+x-8\sqrt{x}-4}{x+\sqrt{x}-6}$ by just factoring

Finding limiting position of a point on a a graph.

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