a) Prove that if x1 > 2 and for n ∈ N, then 2 <xn+1 < xn holds for all n ∈ N.b)...

a) Prove that if x1 > 2 and for n ∈ N, then 2 <xn+1 < xn holds for all n ∈ N.

b) Prove that if 2 < x1 < 3 and for n ∈ N, then 0 < xn < xn+1 holds for all n ∈ N.

c) Prove that if 0 < x1 < 1 and for n ∈ N, then 0 < xn+1 < xn holds for all n ∈ N.

d) Prove that if 3 < x1 < 5 and , then 3 < xn+1 < xn holds for all n ∈ N.