$x+x-1$

$2.$ Evaluate the area of the region bounded by the $x-$axis and the graph of $f$ if $f(x)=1-|x-1|$ for all $x.$

$($a$)\frac{1}{3}$

$($b$)\frac{1}{2}$

$($c$)1$

$($d$)2$

$($e$)3$

Evaluate the limit

$\underset{n}{lim}\frac{1}{n}{\displaystyle \underset{j=1}{\overset{n}{}}}sin(\frac{j}{2n})$

$($a$)-\frac{2}{}$

$($b$)-\frac{1}{}$

$($c$)0$

$($d$)\frac{1}{}$

$($e$)\frac{2}{}$

$\frac{i}{n}\frac{n}{2}\frac{}{2n}.$

$\frac{i}{2n}sin(\frac{}{n})(\frac{1}{2})sinx.\frac{1}{2}sin()-\frac{1}{2}sin(0)$