GATE 2010 CS (CS1) – Question 15

Engineering Mathematics · Calculus · 1 mark · Multiple choice

Evaluate $\lim_{n\to\infty}(1-1/n)^{2n}$.

Show answer and explanation

Correct answer: (B) $e^{-2}$

Explanation

The standard limit is $(1-1/n)^n\to e^{-1}$. Squaring gives the requested e⁻², B. Equivalently logarithms give 2n·log(1−1/n)→−2.

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