List questions from indeterminate-forms

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Why is $\infty \cdot 0$ not clearly equal to $0$?

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Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$

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What is the result of $\infty - \infty$?

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Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$

Published on 28 Mar 2012 - 23:15

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I have learned that 1/0 is infinity, why isn't it minus infinity?

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Is it wrong to tell children that $1/0 =$ NaN is incorrect, and should be $∞$?

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Using L'hopital's rule to evaluate the limit $\lim_{x \to 0} \left(e^x+x\right)^{\frac{1}{x}}$

Published on 24 Oct 2012 - 14:09

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Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$

Published on 15 Jan 2013 - 21:29

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how to show that $\lim_{z \to 0}z^z$ does not exist?

Published on 28 Jan 2013 - 9:21

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Solve a seemingly simple limit $\lim_{n\to\infty}\left(\frac{n-2}n\right)^{n^2}$

Published on 21 Mar 2013 - 9:37

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Why is $\lim_{x \to \infty} x \log(1+\frac{1}{x}) = \lim_{y \to 0} \frac{\log(1+y)}{y}$?

Published on 02 Sep 2020 - 18:20

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Restrictions on laws

Published on 19 Sep 2020 - 16:45

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Is it logical to say that $ 2\over 0$ $\ne$ $ 2\over 0$?

Published on 28 Oct 2020 - 1:25

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Infinity as a limit in an indeterminate form

Published on 31 Oct 2020 - 15:20

List Question

Zero to the zero power – is $0^0=1$?

Why is $\infty \cdot 0$ not clearly equal to $0$?

Limits: How to evaluate $\lim\limits_{x\rightarrow \infty}\sqrt[n]{x^{n}+a_{n-1}x^{n-1}+\cdots+a_{0}}-x$

What is the result of $\infty - \infty$?

Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$

I have learned that 1/0 is infinity, why isn't it minus infinity?

Is it wrong to tell children that $1/0 =$ NaN is incorrect, and should be $∞$?

Using L'hopital's rule to evaluate the limit $\lim_{x \to 0} \left(e^x+x\right)^{\frac{1}{x}}$

Calculate $\lim_{x\to 0}\frac{1}{x^{\sin(x)}}$

how to show that $\lim_{z \to 0}z^z$ does not exist?

Solve a seemingly simple limit $\lim_{n\to\infty}\left(\frac{n-2}n\right)^{n^2}$

Why is $\lim_{x \to \infty} x \log(1+\frac{1}{x}) = \lim_{y \to 0} \frac{\log(1+y)}{y}$?

Restrictions on laws

Is it logical to say that $ 2\over 0$ $\ne$ $ 2\over 0$?

Infinity as a limit in an indeterminate form

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