fx sin x, 1 cos x, cos x, x < 0 0 x x > f

Chapter 1, Problem 30

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In Exercises 29 and 30, sketch the graph of f. Then identify the values of c for which \(\lim_{x\rightarrow c}\ f(x)\) exists.

\(f(x)=\left\{\begin{array}{ll} \sin x, & x<0 \\ 1-\cos x, & 0 \leq x \leq \pi \\ \cos x, & x>\pi \end{array}\right.\)

Text Transcription:

lim_x rightarrow c f(x)

f(x) = {_cos x,  x>pi  ^1-cos x,  0 leq x leq pi  ^^sin x,  x<0

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