Let \(L = \lim_{n\to\infty}\sum_{k=0}^{n} \frac{e^{-n}n^k}{k!}\). Which of the…

GATE · 2026 · DA · Data Science & AI

Let L=lim⁡n→∞∑k=0ne−nnkk!L = \lim_{n\to\infty}\sum_{k=0}^{n} \frac{e^{-n}n^k}{k!}.

Which of the following is the value of LL?

  1. A.

    0.5

  2. B.

    1.0

  3. C.

    0

  4. D.

    e−1e^{-1}

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