Hello everyone,

I had an assignment that one of my actuarial math teacher gave me and there is a question that need to be proved.

6. Assume that 0<i<1. Show that

f(t)=(1+i)^t

g(t)=1+it

a) f(t) < g(t) for 0<t<1

b) f(t) > g(t)for 1<t

HINT: if f(a)=0 and f'(x)>0 for a<x<b then f(b)>0

The problem must be solved with the HINT he gave us.

Thank for your help.