Analyzing GraphsIt is about the accompanying graphs. The

QUESTION:

Let \(f(x)=[\cos x], -\pi \leqslant x \leqslant \pi\)

(a) Sketch the graph of \(f\).

(b) Evaluate each limit, if it exists.

\(\text { (i) } \lim _{x \rightarrow 0} f(x)\)              \(\text { (ii) } \lim _{x \rightarrow(\pi / 2)^{-}} f(x\)

\(\text { (iii) } \lim _{x \rightarrow(\pi / 2)^{+}} f(x\)        \(\text { (iv) } \lim _{x \rightarrow \pi / 2}f(x)\)

(c) For what values of \(a\) does \(\lim _{x \rightarrow a} f(x) \text { exist? }\)  exist?

Equation Transcription:

,   ⩽  ⩽

Text Transcription:         

f(x)=[cos x],-pi leqslant  x leqslant pi

f

(i)lim over x rightarrow 0 f(x)

(ii)lim over x rightarrow (pi/2)^- f(x)

(iii)lim over x rightarrow (pi/2)^+ f(x)

(iv)lim over x rightarrow pi/2 f(x)

a

Lim_x rightarrow a f(x)