Hard Calculus
posted by timmy .
f(x)= xsquared  2x
Determine whether y= f(IxI) is continous at x= 0 justify your answer

1. determine if f(x) exists at x=0.
2. If it exists, calculate the limites of the following as x>0
a. f(x)
b. f(x+)
c. f(x)
If all three have identical values, f(x) is continuous at f(0).
See:
http://img683.imageshack.us/img683/654/1285202904.png