The value of \(\sum _{k=1}^{∞}{(−1)}^{k+1}\left(\frac{k\left(k+1\right)}{k!}\right)\) is [JEE Main 2026, 28 Jan (Shift 1…
Q1
The value of \(\sum _{k=1}^{∞}{(−1)}^{k+1}\left(\frac{k\left(k+1\right)}{k!}\right)\) is
[JEE Main 2026, 28 Jan (Shift 1)]
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