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

\[\eta>0, f(x)\]is continue, but\[\eta <0, f(x)\] is not continue in root, look:\[f(x)=(1/x)^\eta\]

Answer 3

since, it is polynomial it is continuous for all x