Question

Suppose f(x)=[sin(x^2-4)]^-1. Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities.

Answer 1

is this
\[\frac{1}{\sin(x^2-4)}\]/

Answer 2

i would be undefined a whole raft of places, since sine is periodic

Answer 3

since \(\sin(0)=0\) it would undefined is
\[x^2-4=0\] in other words if \(x=2,x=-2\) but that only gives two values

Answer 4

also undefined is \(x^2-4=\pi\) etc

Answer 5

um satellite can you help me with a question after this?

Answer 6

darn it he left ):