JEE Main 202628 Jan, Morning shiftMathematicsEasySequence and Series179× since 2002The 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)∑k=1∞(−1)k+1(k!k(k+1)) isAOption A. 1/eBOption B. 2/eCOption C. e\sqrt{e}eDOption D. e/2CheckSkip · show solution