Posted by **timmy** on Thursday, September 23, 2010 at 8:26am.

f(x)= xsquared - 2x

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

- Hard Calculus -
**MathMate**, Thursday, September 23, 2010 at 9:55am
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

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