(Solved): (7nts)6. Evaluate the limit below using the Squeeze Theorem. \[ \lim _{x \rightarrow \pi}(x-\pi) \c ...

(7nts)6. Evaluate the limit below using the Squeeze Theorem. \[ \lim _{x \rightarrow \pi}(x-\pi) \cdot \sin \left(\frac{2}{x-\pi}\right) \] (7pts)7. Use the Intermediate Value Theorem to prove that \( f(x) \) below has a zero on \( [0, \pi] \). \[ f(x)=\cos (x)-\frac{1}{5} \]