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If f(x)=(|x|/(2 + |x|))^(2x), then...

If `f(x)=(|x|/(2 + |x|))^(2x)`, then

A

`lim_(x rarr infty) f(x) = e^(-4)`

B

`lim_(x rarr -infty) f(x) = e^4`

C

`lim_(x rarr -infty) f(x) = infty`

D

`lim_(x rarr -infty) f(x) = 1`

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A, B
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