List questions from limits-without-lhopital

35

Views

Let $\lim_{x \rightarrow a} f(x) = A$ . Prove $\lim_{x \rightarrow a} \sqrt{f(x)} = \sqrt{A}$. Help?

Published on 04 Apr 2026 - 15:54

120

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How to compute this limit: $\lim_{x\to\infty}x\left(\frac 1e-\left(\frac x{x+1}\right)^x\right)$?

Published on 25 Jun 2017 - 13:17

164

Views

Sum rule in limits

Published on 26 Jun 2017 - 8:15

126

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(Verification)$\lim\limits_{x\to 0}{e^x-e^{-x} \over 1- \cos x} =2$

Published on 26 Jun 2017 - 17:33

72

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The graph of $f(x)$ near vertical asymptote

Published on 27 Jun 2017 - 6:44

143

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$\lim _{x\to \infty }\left(1+\sqrt{x}\sin \frac{1}{x}\right)^{\sqrt{x}}$

Published on 27 Jun 2017 - 8:20

69

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Two questions on $f(x)=e^{-x}+\cos x$

Published on 27 Jun 2017 - 10:17

105

Views

proving that $g(x)=|x|f(x)$ derivable iff $f(0)=0$ in $x_0=0$

Published on 27 Jun 2017 - 12:26

126

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Limit $\lim_{x\to0}\frac{1-cos(x)}{x^2}$

Published on 28 Jun 2017 - 8:24

165

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What is the limit of the following function?

Published on 30 Jun 2017 - 1:17

77

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How to evaluate $\lim_{n \to 0} n\cot(n)$

Published on 30 Jun 2017 - 17:39

53

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proving existence of a series $(x_n)$

Published on 01 Jul 2017 - 13:15

37

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Proving existence of a point for a derivable function

Published on 01 Jul 2017 - 15:10

183

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Wolfram Alpha's solution to $\lim_{x\to 0+} \frac{\ln\ x}{x^2}$

Published on 02 Jul 2017 - 19:16

113

Views

Solving Special Limits not using L'Hopital's Rule

Published on 04 Jul 2017 - 21:38

List Question

Let $\lim_{x \rightarrow a} f(x) = A$ . Prove $\lim_{x \rightarrow a} \sqrt{f(x)} = \sqrt{A}$. Help?

How to compute this limit: $\lim_{x\to\infty}x\left(\frac 1e-\left(\frac x{x+1}\right)^x\right)$?

Sum rule in limits

(Verification)$\lim\limits_{x\to 0}{e^x-e^{-x} \over 1- \cos x} =2$

The graph of $f(x)$ near vertical asymptote

$\lim _{x\to \infty }\left(1+\sqrt{x}\sin \frac{1}{x}\right)^{\sqrt{x}}$

Two questions on $f(x)=e^{-x}+\cos x$

proving that $g(x)=|x|f(x)$ derivable iff $f(0)=0$ in $x_0=0$

Limit $\lim_{x\to0}\frac{1-cos(x)}{x^2}$

What is the limit of the following function?

How to evaluate $\lim_{n \to 0} n\cot(n)$

proving existence of a series $(x_n)$

Proving existence of a point for a derivable function

Wolfram Alpha's solution to $\lim_{x\to 0+} \frac{\ln\ x}{x^2}$

Solving Special Limits not using L'Hopital's Rule

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