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Evaluating $\lim_{n \to \infty} (n^2+1)^{n/(n^2+1)}$

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#calculus #limits #indeterminate-forms
162
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Evaluating $\lim_{x \to 1}\frac{\sin(x^2-x)}{x^2-1}$ and $\lim_{x \to 1}\frac{\ln(x^2+x-1)}{\ln(x^3+x-1)}$

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#calculus #limits #limits-without-lhopital #indeterminate-forms
118
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How can I turn a $0^0$ form into a $\frac{\infty}{\infty}$ or $\frac{0}{0}$ form?

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#real-analysis #calculus #limits #indeterminate-forms
121
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$\sqrt[0]{x}$ indeterminate form?

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#calculus #limits #indeterminate-forms
199
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Evaluating $\lim\limits_{x\to 1}\frac{2^{\sin(\pi x)}-2^{\tan(\pi x)}}{x-1}$

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#calculus #limits #limits-without-lhopital #indeterminate-forms
106
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Why is $\infty^0$ an indeterminate form?

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#real-analysis #calculus #indeterminate-forms
249
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An indeterminate limit form of infinity/infinity

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#calculus #limits #indeterminate-forms
164
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If $0^0 = 1$, then is it true that $0/0 = 1$?

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#discrete-mathematics #soft-question #indeterminate-forms
383
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Continuity of $x\ln(x)$

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#real-analysis #calculus #limits #indeterminate-forms
70
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Using conjugates to solve indetermination on limit with cubic root

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#calculus #limits #radicals #indeterminate-forms
60
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What is the cardinality of this absolutely outrageous set?

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#elementary-set-theory #cardinals #infinity #indeterminate-forms
47
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Limit as $\alpha$ and $\beta$ tend to 1, indeterminate form

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#limits #indeterminate-forms
268
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Is $y=0^x$ really a function?

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#algebra-precalculus #functions #convention #indeterminate-forms
870
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Limit of the form 0 times infinity

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#sequences-and-series #limits #limits-without-lhopital #indeterminate-forms
31
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A Question About the possible values of 1^infinity

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#limits #infinity #indeterminate-forms

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