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On the interval I = [-2, 2], if the func...

On the interval `I = [-2, 2]`, if the function `f(x) = {{:((x+1)e^(-((1)/(|x|)+(1)/(x)))",",x ne 0),(0",",x = 0):}`, then which of the following hold good ?

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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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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