Calculus, help please!?

Question

Where is f(x)=cot(x) discontinuous?

Answer 1

Hi,

Discontinuous means that the graph line breaks.
In this case, cot(x) discontinuos whenever the value of x is :

n*pi , that is

-n*pi, ... -3pi, -2pi, -pi, 0, pi, 2pi, 3pi, ... n*pi

I also provide a link below which contains a picture to the graph of cot(x).

Hope this helps.

Kind regard,
Ryonn

Answer 2

f(x) = 1 / tan x
Undefined at x = 0 , π , 2π , 3π , 4π ------
Undefined (discontinuous)at:-
x = 0 , nπ for n Є N (natural numbers)