Question

What is Lim (1-sec x)/x when x approaches to 0? Thank you

Answer 1

The limit equals `0`

Explanation:

We are of the form `0/0`, so we can use l'Hospitals.

`L = lim_(x-> 0) (-tan^2x)/1`

`L = -tan^2(0)`

`L = 0`

The graph confirms:

Hopefully this helps!