Find the smallest positive integer a such that `sqrtn-sqrt(n-1)<0.01.`

Find the number of positive integers n.such that sqrt(n)+sqrt(n+1)<11

Find the smallest positive integer n such that d^n/(dx^n) (cosx)=cosx

Find the smallest positive integer k such that (2000) (2001) k is a perfect cube.

Let z=(sqrt3/2)-(i/2) then the smallest positive integer n such that (z^(95)+i^(67))^(94)=z^n is

What is the smallest positive integer k such that k(3^(3) + 4^(3)+ 5^(3)) = a^n for some positive integer a and n with n gt 1 ?

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^(n) is a positive integer.

Find the least positive integer n such that ((2i)/(1+i))^n is a positive integer.