JEE Main 2004Annual, Paper 1MathematicsEasySequence and Series179× since 2002The sum of series 12 !+14 !+16 !+........{1 \over {2\,!}} + {1 \over {4\,!}} + {1 \over {6\,!}} + ........2!1+4!1+6!1+........ isAOption A. (e2−2)e {{\left( {{e^2} - 2} \right)} \over e}\,e(e2−2)BOption B. (e−1)22e{{{{\left( {e - 1} \right)}^2}} \over {2e}}2e(e−1)2COption C. (e2−1)2e {{\left( {{e^2} - 1} \right)} \over {2e}}\,2e(e2−1)DOption D. (e2−1)2{{\left( {{e^2} - 1} \right)} \over 2}2(e2−1)CheckSkip · show solution
