Using the given information, answer the following questions: What is the limit of limx!0+ f(x)? Does f(x) have a vertical asymptote at x = 0? What ...

Using the given information, answer the following questions:
What is the limit of limx!0+ f(x)?
Does f(x) have a vertical asymptote at x = 0?
What is the derivative of f(x)?
Where is the maximum local of f(x)?
Where is the global minimum of f(x)?
What is the second derivative of f(x)?
Where is the inflection point of f(x)?
Is f(x) convex or concave in the interval (0, e^(-1))?
What is the limit of limx!0+ f'(x)?
The limit of limx!0+ f(x) is 0.
f(x) does not have a vertical asymptote at x = 0.
The derivative of f(x) is f 0(x) = lnx(lnx+2)/x.
The maximum local of f(x) is at (e^(-2), 4e^(-2)).
The global minimum of f(x) is at (1, 0).
The second derivative of f(x) is f 00(x) = 2(lnx+1)/x.
The inflection point of f(x) is at (e^(-1), e^(-1)).
f(x) is concave in the interval (0, e^(-1)).
The limit of limx!0+ f'(x) is 1.