Question

Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

Answer 1

\( f(x) = sec(x)\)

sec(x) = 1/cos(x)

so where cos(x) = 0

and that would be pi/2 + k

where k is an integer

Answer 2

pi/2+kpi

Answer 3

and they are not removable

Answer 4

oops, yes, I meant pi/2 + kpi

and yes, they are not removable since they are vertical asymptotes and not a hole in the graph (:

Answer 5

Thanks :)

Answer 6

np