Evaluate: _ x [ ( 2 ( x 1+x )^a ) ]^ x^2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate:

\lim_{x \rightarrow \infty} \left[ \cos \left( 2\pi \left( \frac{x}{1+x} \right)^a \right) \right]^{x^2}