## anonymous 5 years ago lim(x to 0)[(cosx)/x]=

1. myininaya

its undefined from the right it goes to infinity from the left it goes to -infinity

2. anonymous

Use the squeeze theorem $\lim_{x\to\infty}\cos((\pi/x)-x)/x = \lim_{x\to\infty}sin(x)/x = 0$ It follows that; $\lim_{x\to\infty}\cos(x)/x = 0$

3. anonymous

Sorry bout that It is undefined, myininaya is right

4. anonymous

the limit doesnt exist

5. anonymous

yep it doesn't exist would be an accurate way of saying it.

6. anonymous

Be careful. As x approaches zero, (cos x)/x gets larger and larger. So limit is +infinity.