CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

\lim_{x \rightarrow -1}\left(\frac{x^4 + x^2 + x + 1}{x^2 - x + 1}\right)^{\frac{1 - \cos(x+1)}{(x+1)^2}}

is equal to (a) 1 (b)

(2/3)^{1/2}

(c)

(3/2)^{1/2}

(d)

e^{1/2}