MCQMediumJEE Main 2026 · 28 January, Shift 1Sum of Series

Mathematics Question from JEE Main 2026 · 28 January, Shift 1

The value of k=1(1)k+1(k(k+1)k!)\sum_{k=1}^{\infty} (-1)^{k+1}\left(\frac{k(k+1)}{k!}\right) is:

  • A

    1e\dfrac{1}{e}

  • B

    2e\dfrac{2}{e}

  • C

    e\sqrt{e}

  • D

    e2\dfrac{e}{2}

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