the value of 1.1!+ 2.2!+ 3.3!+ ....+ n.n!

The value of 1+1.1!+2.2!+3.3!+.........+n.n! is (A) (n+1)!+1(B)(n-1)!+i(C)(n+1)!-1(D)(n+1)!

1+1.1!+2.2!+3.3!+......n.n! is equal to

Prove by the principle of mathematical induction, that 1.1!+2.2!+3.3!+.....+(n.n!)=(n+1)!-1"for all natural number "n (n!=1xx2xx3....n)

Find the value of 2^(n){1.3.5.....(2n-3)(2n-1)}

Let 'sigma' denotes the sum of the infinite series sum_(n=1)^(n)((n^(2)+2n+3)/(2^(n))). Compute the value of (1^(3)+2^(3)+3^(3)+......+sigma^(3))

If H_(n)=1+(1)/(2)+(1)/(3)+...+(1)/(n), then value of 1+(3)/(2)+(5)/(3)+...+(2n-1)/(n) is

If n be a positive integer such that n<=3, then the value of the sum to n terms of the series 1.n-((n-1))/(1!)(n-1)+((n-1)(n-2))/(2!)(n-2)-((n-1)(n-2)(n-3))/(3!)(n-3)+dots