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

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

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 smallest positive integer n for which ((1+iota)^(n))/((1-iota)^(n-2)) is a positive real number.

Find the smallest positive integer n, for which ((1+i)/(1-i))^(n)=1

The smallest positive integer n, so that 999999. n=111……11 is:

Find the smallest positive integer value of n for which ((1+i)^n)/((1-i)^(n-2)) is a real number.

Let P(n): (2n+1) lt 2^(n) , then the smallest positive integer for which P(n) is true?