Continuity with (cos x)^(2/(x arctan x))

Difficulty: Medium · Topics: Calculus, Continuity

(cos x)^(2/(x arctan x)) bilan uzluksizlik

If

f(x)=begincases(cos x)^(2)/(xarctan x), & x≠ 0\\ a, & x=0endcases

is continuous at x=0, find a.