Question

lim(x to 0)[(cosx)/x]=

Answer 1

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

Answer 2

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

Answer 3

Sorry bout that
It is undefined, myininaya is right

Answer 4

the limit doesnt exist

Answer 5

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

Answer 6

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