Use the Binomial Formula or the Principle of Induction to prove each of the following. a) nk=0(-1)k

Question:

Use the Binomial Formula or the Principle of Induction to prove each of the following.
a) ∑nk=0(-1)k (n/k) = 0 for all n ∈ N.
b) (a + b)n > an + bn for all n ∈ N and a, b > 0.
c) (1 + \/n)n > 2 for all n ∈ N.
d) ∑nk=1 (n/k) ∑n-1k=0 = for a n ∈ N.