Question

How can we test the continuity of the function below :--

Answer 1

\[f(x)=x^n\] for \[x \in R\] & \[x \neq 0.\]

Answer 2

A function f( x) is said to be continuous at a point ( c, f( c)) if each of the following conditions is satisfied:
f(c) exists ( c is in the domain of f(x) )
lim( as x->c) f(x) exists and is equal to f(c)

Answer 3

Is n \in Z?