# piecewise limit function

• February 15th 2010, 12:58 PM
calculusphobe
piecewise limit function
f(x)= { (cosx-1)/x, x is less than 0}
{ 5x, x is greater than or equal to 0}
Lim of f(x) as x approaches 0

This was a question on my test and i wanted to know the answer.
• February 15th 2010, 01:06 PM
Plato
Quote:

Originally Posted by calculusphobe
f(x)= { (cosx-1)/x, x is less than 0}
{ 5x, x is greater than or equal to 0}
Lim of f(x) as x approaches 0
This was a question on my test and i wanted to know the answer.

$f(0-)=f(0+)=0$, so the limit is $0$.
• February 15th 2010, 01:18 PM
calculusphobe
I put zero but thought it was to easy.
Thx Plato