Afunction `f : R rightarrow R` is defined by:
`f(x) = {(e^(-2x), x, < ln,1/2),(4, ln, 1/2 le, x le 0), (e^(-2x), " ", " " ,x>0):}`
Which of the following statements is true about the function at the point `x = ln " 1/2` ?

Options

A. `f(x)` is not continuous but differentiable
B. `f(x)` is not continuous but not differentiable
C. `f(x)` is neither continuous nor differentiable
D. `f(x)` is both continuous as well as differentiable