Posted by **Timothy** on Tuesday, August 24, 2010 at 12:55am.

If lim x->6 f(x)g(x) exists, then the limit must be f(6)g(6). True or false?

Explain why it's true or false.

Help!

- math- Calculus -
**MathMate**, Tuesday, August 24, 2010 at 8:36am
It is possible that the lim x→q f(x) exists, but f(q) does not.

An example is

f(x)=sin(x)/x where

lim x→0 f(x)=1, but

f(0) does not exist.

I leave it up to you to decide on whether the answer should be true or false.

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