JEE Main 2005Annual, Paper 1MathematicsEasySequence and Series179× since 2002The sum of the series 1+14.2!+116.4!+164.6!+.......1 + {1 \over {4.2!}} + {1 \over {16.4!}} + {1 \over {64.6!}} + .......1+4.2!1+16.4!1+64.6!1+....... ad inf. isAOption A. e−1e {{e - 1} \over {\sqrt e }}\,ee−1BOption B. e+1e{{e + 1} \over {\sqrt e }}ee+1COption C. e−12e{{e - 1} \over {2\sqrt e }}2ee−1DOption D. e+12e{{e + 1} \over {2\sqrt e }}2ee+1CheckSkip · show solution