Question

On the interval 1= [-2, 2], the function f(x) = {((x + 1)e^{-|1/|x| + 1/x|,} (x ≠ 0)), (0, (x = 0)) then which one of the following does not hold good?

(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) has a maximum value equal to 3/e.

Answer 1

Answer is (A) is continuous for all values of x ∈ I

the graph of f(x) is hence f can assume all values for f(- 2) to f(2)