Question #b94e2

1 Answer
Nov 13, 2016

Limit does not exist

Explanation:

Consider left and right limits as #x-> pi#

Thus as #x->pi^+#, cotx #->oo# , #lim x->pi^+, e^cotx=oo#

Next, as #x->pi^- , cotx-> -oo#, #lim x->pi^- , e^cotx=0#

Since both right and left hand limits are different, it is concluded that limit does not exist