If $a0, n \in \mathbf{R}$, then $\lim _{x \rightarrow a} x^n=\ldots$.

Question

If $a>0, n \in \mathbf{R}$, then $\lim _{x \rightarrow a} x^n=\ldots$.

Aicharya · Accepted Answer

If $a > 0, n \in \mathbf{R}$ $\Rightarrow \quad \lim _{x \rightarrow a} x^n=a^n$

If \(a>0, n \in \mathbf{R}\), then \(\lim _{x \rightarrow a} x^n=\ldots\).