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

f(x) is continuous for all values of `x in I`

B

f(x) is continuous for `x in I - {0}`

C

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

D

f(x) has a maximum value equal to 3/e

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The correct Answer is:

B, C, D

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