Does the limit rule $\lim_{x \rightarrow 0}\frac{\sin x}{x}=1$ apply to $\lim_{x \rightarrow \pi}\frac{\sin\left(x-\pi\right)}{\left(x-\pi\right)}=1$?

score 48 · Answer 10 · 2026-04-25 20:46:31

48

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Limit involving logarithms and exponentials

Published on 25 Apr 2026 - 20:46

score 231 · Answer 11 · 2026-04-13 06:18:31

231

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Implications of Convergence of a Series

Published on 13 Apr 2026 - 6:18

score 40 · Answer 12 · 2026-05-05 06:49:56

40

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How do I show a limit at some point exists using the delta-epsilon definition, if I do not know what it's value is?

Published on 05 May 2026 - 6:49

score 2.6k · Answer 13 · 2026-04-16 00:11:30

2.6k

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How to compute $\lim_{x \to 0} \frac{1}{x^2} \int_{0}^{x} f(t)t \space dt $?

Published on 16 Apr 2026 - 0:11

score 207 · Answer 14 · 2026-04-12 16:05:04

207

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Is there any sequence of functions containing functions growing slower than any smooth function?

Published on 12 Apr 2026 - 16:05

score 75 · Answer 15 · 2026-04-13 17:03:45

75

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Finding limit of $m(1-\frac{1}{m+1})^{m^2-m-1}$ as $m\rightarrow \infty$

Published on 13 Apr 2026 - 17:03

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