Using mathematical induction prove that
`1/(n+1)+1/(n+2)+……+1/(2)gt13/24AAn in N` and `n gt1`

Using mathematical induction prove that : d/(dx)(x^n)=n x^(n-1) for all n in NN .

Using mathematical induction, prove the following: 1+2+3+...+n< (2n+1)^2 AA n in N

Using mathematical induction, prove that (1)/(1.3.5) + (2)/(3.5.7) +….+(n)/((2n-1)( 2n+1) ( 2n+3)) =( n(n+1))/( 2(2n+1) (2n+3))

Use principle of mathematical induction, to prove that (1 + x) ^(n) gt 1 + nx , " for " n ge 2 and x gt = -1, (ne 0 )

Using the principle of mathematical induction, prove that 1/(1*2)+1/(2*3)+1/(3*4)+…+1/(n(n+1)) = n/((n+1)) .

Prove that ((n + 1)/(2))^(n) gt n!

Using the principle of mathematical induction prove that 1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)++1/(1+2+3++n)=(2n)/(n+1) for all n in N

Using the principle of mathematical induction prove that 1+1/(1+2)+1/(1+2+3)+1/(1+2+3+4)++1/(1+2+3++n)=(2n)/(n+1) for all n in N

Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all positive integers n.

Using the principle of mathematical induction , prove that for n in N , (1)/(n+1) + (1)/(n+2) + (1)/(n+3) + "……." + (1)/(3n+1) gt 1 .