Are the following statements true Why or why not (a) Because approaches 0 as approaches
Chapter 9, Problem 94(choose chapter or problem)
Think About It Are the following statements true? Why or why not?
(a) Because \(\frac{1}{n^{4}}\) approaches 0 as n approaches \(\infty),
\(\sum_{n=1}^{\infty} \frac{1}{n^{4}}=0\).
(b) Because \(\lim _{n \rightarrow \infty} \frac{1}{\sqrt[4]{n}}=0\), the series \(\sum_{n=1}^{\infty} \frac{1}{\sqrt[4]{n}}\) converges.
Text Transcription:
frac1n^4
infty
sum_n=1^inftyfrac1n^4=0
lim_ninftyfrac1sqrt[4]n=0
sum_n=1^inftyfrac1sqrt[4]n
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