Hey can you guys help me with this root test question: $$\sum_{n=1}^\infty \frac{(n^\sqrt n)}{2^n}$$
2026-03-29 06:27:23.1774765643
Calculus 2 Root Test Question help
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HINT
Note that
$$\sqrt[n]{\frac{n^{\sqrt n}}{2^n}}=\frac12 n^{\frac1{\sqrt n}}$$
and
$$n^{\frac1{\sqrt n}}=\left(\sqrt n^{\frac1{\sqrt n}}\right)^2$$