JEE Main 2007Annual, Paper 1MathematicsEasySequence and Series179× since 2002The sum of series 12!−13!+14!−.......{1 \over {2!}} - {1 \over {3!}} + {1 \over {4!}} - .......2!1−3!1+4!1−....... upto infinity isAOption A. e−12{e^{ - {1 \over 2}}}e−21BOption B. e+12{e^{ + {1 \over 2}}}e+21COption C. e−2{e^{ - 2}}e−2DOption D. e−1{e^{ - 1}}e−1CheckSkip · show solution