" 23."(1)/(x(x^(n)+1))

Show that 1/(x+1)+5/(x^2+1)+4/x^4+1)+…..+2^n/(x^2^n+1)= /(x-1)- 2^(n+1)/(x^2(n+1) -1)

Show that 1/(x+1)+2/(x^2+1)+4/x^4+1)+…..+2^n/(x^2^n+1)= /(x-1)- 2^(n+1)/(x^2(n+1) -1)

If (dx)/(x^(2)(x^(n)+1)^((n-1)//n))=-[f(x)]^(1//n)+c , then f(x) is

The smallest natural number n, such that the coefficient of x in the expansion of (x^(2) + (1)/(x^(3)))^(n) is .^(n)C_(23) , is

If the coefficient of x in binomial expansion of expression (x^(2)+(1)/(x^(3)))^(n) is *^(n)C_(23). Then the minimum value of n is

The smallest natural number n, such that the coefficient of x in the expansion of (x^(2) + (1)/(x^(3)))^(n) is .^(n)C_(23) , is (A) 35 (B) 23 (C) 58 (D) 38

Prove that 1+(1+x)+(1+x+x^(2))+(1+x+x^(2)+x^(3))+...+ to n terms =(n)/(1-x)-(x(1-x^(n)))/(1-x)^(2)

If x+ (1)/(x)=1 , find x^(23) + (1)/(x^(23))=