#Properties Of Limits

7 messages · Page 1 of 1 (latest)

kindred raftBOT
normal bone
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The answer is definitely not 1.

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,w limit of cos(pi * x / 2) as x -> 1

polar bluffBOT
tulip egret
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Yeah, I'm so confused on how got one. 😭

normal bone
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\section*{$\lim_{x \to 1} \cos(\frac{\pi x}2)$}
The function is continuous around $x = 1$, so we can directly substitute:
$$\begin{aligned}
\lim_{x \to 1} \cos(\frac{\pi x}2) &= \cos(\frac{\pi}2) \
&= 0 \end{aligned}$$

polar bluffBOT
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@normal bone

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