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## Homework Statement

Evaluate the limits that exist:

lim x->0 of [tex]\frac{1-cos4x}{9x^{2}}[/tex]

## Homework Equations

lim x->0 [tex]\frac{1-cosax}{ax}[/tex] = 0

## The Attempt at a Solution

so far I've got this

[tex]\frac{4x}{9x^{2}}\frac{1-cos4x}{4x}[/tex]

The second part has a limit of 0 but I don't know what to do about the first fraction. To me it looks undefined but according to some java applet I found on the internet the limit should be 8/9. What's the right answer?