For , is equal…

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

Problem

For

x \in \mathbb{R}

\lim_{x \to \infty} \left(\frac{x-3}{x+2}\right)^x

is equal to (1)

e

(2)

e^{-1}

(3)

e^{-5}

(4)

e^5