Let `alpha(n) = 1-1/2+1/3-........+(-1)^(n-1)1/n`

For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) then

For a positive integer n , let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) : Then

Let S_n=1+1/2+1/3+1/4+......+1/(2^n-1). Then

If 1, alpha,alpha^2.......alpha^(n-1) are the nth roots of unity then prove that (1-alpha)(1-alpha^2).....(1-alpha^(n-1))=n

Let S_(n)=1+(1)/(2)+(1)/(3)+(1)/(4)+......+(1)/(2^(n)-1) Then

For a positive integer (n gt 1) , Let a (n) = 1+ (1)/(2) + (1)/(3) + (1)/(4) ….... + (1)/( (2^(n) )-1) Then

For a positive integer n let a(n)=1+1/2+1/3+1/4+….+1/ ((2^n)-1) Then

Let alpha=lim_(n->oo)((1^3-1^2)+(2^3-2^2)+.....+(n^3-n^2))/(n^4), then alpha is equal to :