JEE Math Practice Question
The sum of series $${1 \over {2\,!}} + {1 \over {4\,!}} + {1 \over {6\,!}} + ........$$ is
- A.$${{\left( {{e^2} - 2} \right)} \over e}\,$$
- B.$${{{{\left( {e - 1} \right)}^2}} \over {2e}}$$
- C.$${{\left( {{e^2} - 1} \right)} \over {2e}}\,$$
- D.$${{\left( {{e^2} - 1} \right)} \over 2}$$
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