I'm struggling with the last bit of this induction question...
Q: Let x>-1. Prove by induction that:
(1+x)^n > 1+nx
for every integer n>1
So far I've got:
Let P(n) be the statement (1+x)^n > 1+nx
(1+x)^1 > 1+nx = 1+x
Therefore P(1) is true.
Assume true for some n+1
I cannot figure out where to go from here..... could you possibly help me?