The sum of the digits in `(10^(2n^z+5n+1) +1)^2,` (where n is a positive integer), is

Solve (x - 1)^n =x^n , where n is a positive integer.

Solve (x-1)^(n)=x^(n), where n is a positive integer.

If N denotes the set of all positive integers and if f : N -> N is defined by f(n)= the sum of positive divisors of n then f(2^k*3) , where k is a positive integer is

The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive integer)

The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive integer)

If N denotes the set of all positive integers and if f:N rarr N is defined by f(n)= the sum of positive divisors of n then f(2^(k)*3) where k is a positive integer is

What are the limits of (2^(n)(n+1)^(n))/(n^(n)) , where n is a positive integer ?

Prove that 2^n >1+nsqrt(2^(n-1)),AAn >2 where n is a positive integer.

Prove that 2^n >1+nsqrt(2^(n-1)),AAn >2 where n is a positive integer.