Evaluate the limits! PLEASE HELP?

Question

I cannot solve these limits.. pls help! If the limit does not exist please explain why

b) lim (as x-> pi from the right) (inverse tan(1/(x-pi)))/(pi-x)

d) lim (as x -> 0 from the right) ((sqrt (x+sinx)) lnx)

g) lim ( as x-> 1 from the left) (inverse cos(x))/(1-x) )

Answer 1

g)

           (Substitute x = 1)

     (Apply L'Hospital's rule : )

      

               (Substitute x = 1)

                         (Simplify)

Answer 2

b)

    (Substitute )

     ( )

                    ( )

 

Answer 3

b)

solution to the problem is 

Answer 4

d)

solution to the problem is