Question $4(25$ marks$)$

$af(x)=lnx$ centered $at{x}_0=1$

$bf(x)=sinx$

$c{\displaystyle \underset{n=0}{\overset{}{}}}(-2x{)}^n$ converges:

$x=\frac{1}{4},x=\frac{1}{2},x=1$

$[10$ Marks$]$