Question

For @tomiko
Write out carefully using the 'squeeze theorem' an argument for
\[ \lim_{n \rightarrow \infty} \sqrt[n]{3^{n+17} + 5^n} \]

Answer 1

@tomiko -- when you're ready ...

Answer 2

I'll also record here so it is easy for me to find later the other question I posed to you. But don't try to work it for now.

\[ \sqrt[n/2]{\frac{7^{2n}}{8^{3n} + 9^n}} \]