Question

Need some help for this exercise :

Prove rigurously:

H) Limit as x approaches a of f(x) = b
Limit as x approaches b of g(x)= c
E E*(a,d1)/for every x belonging to E*(a,d1) it hold that f(x) does not equal b.

T) Limit as x approaches a of the function (gof)(x) = c