Question $2(10$ points$)$

Find the Maclaurin series for $sinx$ and prove that its represents $sinx$ for all x $.$

Question $3(10$ points$)$

Find the Maclaurin series for the functiof $f(x)=\frac{1}{\sqrt[\phantom{2}]{4-x}}$ and its radius of convergence. Hint: use the Binomial Series.