Question

How do you solve for the limit of cos(2x)/x as x approaches 0?

Answer 1

its infinity

Answer 2

since 1/0 is infinty

Answer 3

I thought that anything divided by 0 is undefined.

Answer 4

You need to reduce the function first. cos(2x) can be translated into another formula with only x instead of 2x. Can you do that ?

Answer 5

Yeah but I wasn't sure which identity to use to get sin(x)/x out

Answer 6

My best guess is to replace cos(2x) by 1-2*si^n(x)^2. This changes the equation to [1/x - 2/x * sin(x)^2]. If x goes down to 0, the first term will go to infinity, while the second term will go to 0. That shows your limit goes to infinity as you've correctly stated earlier.