For the following three (03) items:
Consider the function f(x) = x|x|

What is $\lim _{x\rightarrow -1}f(x)$ equal to?

For the following three (03) items:
Consider the function f(x) = x|x|

What is the area bounded by the curve f(x) the x-axis and the lines x = - 2 and x = 1

For the following three (03) items:
Consider the function f(x) = x|x|

Consider the following statements:

I. The function is increasing in the interval (-∞,∞),

II. The function is differentiable at x = 0

Which of the statements given above is/are correct?

For the following two (02) items:
Consider the function
$f(x)=\frac{x}{1-x}(x>0,x\ne 1)$

What is $\frac{f(x)}{f(x+1)}$ equal to?