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If f(x) = 2^(|x|) where [x] denotes the...

If `f(x) = 2^(|x|)` where `[x]` denotes the fractional part of x. Then which of the following is true ?

A

f is periodic

B

`int _(0) ^(1) 2 ^((x))dx = (1)/(ln 2 )`

C

`int_(0) ^(1) e ^((x)) dx = log _(2) e `

D

`int_(0) ^(100) 2 ^({x}) dx = 100 log _(2) e `

Text Solution

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The correct Answer is:
A, B, C, D
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