How do I evaluate this limit, using Sandwich Theorem?

Question

Using Sandwich Theorem, how can I evaluate the limit for - $$\lim_{n\to \infty} (a^n+b^n)^{1/n}$$ where $a$ and $b$ are positive quantities and $b$ is greater than $a$.

Answer 1

$$b < (a^{n} + b^{n})^{1/n} < 2^{1/n}b$$