choose one Discuss convergence$/$divergence$/$absolute convergence:

$($a$)$$1$dxx$(1+$x$)1$dxx$(1+$x$)$

$($b$)$$1$x$+2$x$2+1$dx$1$x$+2$x$2+1$dx

$($c$)$$1$sin$(1/$xxdx$1$sin$(1/$xxdx

$($d$)$$1$cosxx$$dx$1$cosxxdx

$($e$)$$0$xsinx$1+$x$2$dx$0$xsinx$1+$x$2$dx

$($f$)$$0$sinxsin$2$xxdx