Continuity and DifferentiabilityHard

Question

On the interval I = [-2, 2], the function f(x) = then which one of the following hold good ?

Options

A.is continuous for all values of x ∈ I

B.is continuous for x ∈ I -(0)

C.assumes all intermediate values from f(-2) & f(2)

D.is continuous for x ∈ I -(0)

Solution

(x + 1) e^-[2/x] =

= 0

(x + 1) = 1
Hence continuous for x ∈ I - {0}

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