JEE Math Practice Question
The value of $$\sum\limits_{n = 1}^{100} {\int\limits_{n - 1}^n {{e^{x - [x]}}dx} } $$, where [ x ] is the greatest integer $$ \le $$ x, is :
- A.100e
- B.100(e $$-$$ 1)
- C.100(1 + e)
- D.100(1 $$-$$ e)
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