sketch the graph of the function and use it to determine the values of a for which displaystyle

Name: sketch the graph of the function and use it to determine the values of a for which displaystyle limxto afx exists fx left beginarrayll 1 sin x mboxif x 0 cos x mboxif 0 le x le pi sin x mboxif x pi 3
Uploaded: 2021-07-21T01:02:06-08:00
Duration: 48 s
Channel: Leon Druch
Description: sketch the graph of the function and use it to determine the values of a for which displaystyle limxto afx exists fx left beginarrayll 1 sin x mboxif x 0 cos x mboxif 0 le x le pi sin x mboxif x pi 3

Question

Leon Druch · Accepted Answer

Step 1: Sketch the graph of the function $f(x)$.

The graph of $f(x)$ consists of three parts:

Question

Sketch the graph of the function and use it to determine the values of $ a $ for which $ \displaystyle \lim_{x\to a}f(x) $ exists. $ f(x) = \left\{ \begin{array}{ll} 1 + \sin x & \mbox{if $ x < 0 $}\\ \cos x & \mbox{if $ 0 \le x \le \pi $}\\ \sin x & \mbox{if $ x > \pi $} \end{array} \right.$

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