# limit of continuous function

• Oct 26th 2009, 02:39 PM
kyleu03
limit of continuous function
If f and g are continuous functions with f(2) = 3 and the following limit, find g(2).
http://www.webassign.net/cgi-bin/sym...9%5D%20%3D%203

completely lost
• Oct 26th 2009, 02:51 PM
ANDS!
Splitting up the limit will help you here (as well as help practice properties of limits):

$4\lim_{x\to2}f(x)-\lim_{x\to2}g(x)=3$

$4\lim_{x\to2}f(x)-3=\lim_{x\to2}g(x)$

Should be able to take it here, using the information they give you.