# Math Help - Proof Limit DNE

1. ## Proof Limit DNE

How do I prove this:

lim as (x->0) of cosx / x DNE

2. Originally Posted by jzellt
How do I prove this:

lim as (x->0) of cosx / x DNE
cos(0)= 1 and cos(x) is a continuous function so for x close to 0, cos(x) is close to 1. In fact, for x close enough to 0, cos(x)> .9 so cos(x)/x> .9/x.