# Math Help - Help with Math Problem that was on a test...

1. ## Help with Math Problem that was on a test...

I need help on solving this problem:

The question was Find the following limit Algebracially (Hint use
sin(theta)/theta = 1)

lim x -> 0 ( sin(1-cosx) ) / (x)

this was an extra credit question on my previous test and i have been trying to figure out and have come up with nothing except making
cosx into 1 / sinx after that im stuck...

2. See attachment

3. Consider

$
\frac{\sin(x) (1-\cos(x))}{x} = \frac{\sin(x) -\sin(x)\cos(x)}{x} = \frac{\sin(x) }{x}-\frac{\sin(x)\cos(x)}{x}
$

or

$
\frac{\sin(x) (1-\cos(x))}{x} = \frac{\sin(x) }{x}(1-\cos(x))
$

4. I believe the question was sin(1-cos(x))/x not [sin(x)(1-cos(x))]/x

5. 0.o thanks dude now i know why this was extra credit again thanks for the help..