Hard Calculus

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

  • Hard Calculus -

    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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