`(2n+7)lt(n+3)^(2)`

Prove the following (2 n + 7) lt (n + 3)^(2)

Prove by mathematical induction that, 2n+7lt(n+3)^(2) for all ninNN .

Prove by mathematical induction that, 2n+7lt(n+3)^(2) for all ninNN .

Find Lt_(n rarr oo){(sqrt(n))/(n^(3//2)) + (sqrt(n))/((n+3)^(3//2)) + …+ (sqrt(n))/([n+3(n-1)]^(3//2))}

Statement-1 For all natural number n, 1+2+....+nlt (2n+1)^2 Statement -2 For all natural numbers , (2n+3)^2-7(n+1)lt (2n+3)^3 .

Statement-1 For all natural number n, 1+2+....+nlt (2n+1)^2 Statement -2 For all natural numbers , (2n+3)^2-7(n+1)lt (2n+3)^3 .

Statement-1 For all natural number n, 1+2+....+nlt (2n+1)^2 Statement -2 For all natural numbers , (2n+3)^2-7(n+1)lt (2n+3)^3 .

Statement-1 For all natural number n, 1+2+....+nlt (2n+1)^2 Statement -2 For all natural numbers , (2n+3)^2-7(n+1)lt (2n+3)^3 .

Statement-1 For all natural number n, 1+2+....+nlt (2n+1)^2 Statement -2 For all natural numbers , (2n+3)^2-7(n+1)lt (2n+3)^3 .