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
f(x)= xsquared - 2x
Determine whether y= f(IxI) is continous at x= 0 justify your answer
1 answer
1 answer