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On the interval I=[-2,2], the function f...

On the interval `I=[-2,2]`, the function `f(x)={{:(,(x+1)e^(-((1)/(|x|)+(1)/(x))),x ne 0),(,0,x=0):}`

A

is continuous for all `x in I-[0]`

B

assumes all intermediate values from `f(-2) to f(2)`

C

has a maximum value equal to 3/e.

D

all of the above

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