Question

How do I do this problem? I know the limit approaches zero. lim x approaches pi/2 from the right e superscript (tan x).

Answer 1

1) Consider that x->pi/2 from the left:
Lim(x->pi/2-)e^tanx=
Lim(h->0)e^tan(pi/2-h)= (h>0 & is real)
inf.

2)consider that x->pi/2 from the right:
Lim(x->pi/2+)e^tanx=
Lim(h->0)e^tan(pi/2+h)= (h>0 & is real)
inf

im not absolutly sure that this is right