14 Select between converges or diverges to fill the first blank.Sincelimk+ 1kk/21/k=
Chapter 9, Problem 4(choose chapter or problem)
Select between converges or diverges to fill the first blank.
Since
\(\lim _{k \rightarrow+\infty}\left(\frac{1}{k^{k / 2}}\right)^{1 / k}=\lim _{k \rightarrow+\infty} \frac{1}{k^{1 / 2}}=0\)
the series \(\sum_{k=1}^{m} 1 / k^{k / 2}\) ________ by the ________ test.
Equation Transcription:
_____
Text Transcription:
lim over k rightarrow +infty (1/k^k/2)^1/k=lim over k rightarrow +infty 1/k^1/2=0
sum_k=1 ^infty 1/k^k/2_____
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