Question

How do you evaluate the limit `cos((pix)/3)` as x approaches `2`?

Answer 1

`lim_(xrarr2) cos((pix)/3)=cos((2pi)/3)=-0.5`

Explanation:

Since `cos((pix)/3)` is defined when `x=2`

The limit as `xrarr2` of `cos((pix)/3)` is `cos((pi2)/3)`
which is one of the "standard" trigonometric angles.