Question

The value of lim(n→∞) ((√(n² + n) - 1)/n)^{2(√(n^2 + n) - 1)} is

(A) √e

(B) 1/√e

(C) 1/e

(D) e

Answer 1

Answer is (C) e^-1

[taking n² as common]

= e^-1