One-Sided Limit of Sin(x)/x at x=0

[spartas]

find the one sided limit at the point x=0 for functions

f(x)={ sinx/x, x greater than 0 ; x+1, x less or equal than 0

 

[Jameson]

Hi spartas,

The first limit can be solved using "the squeeze theorem". Here is a hint.
$$ \cos(x) < \frac{\sin(x)}{x} < 1 $$
What happens to the left and right sides for $\displaystyle \lim_{x \rightarrow 0}$?