Solution Found!
?Use the Integral Test to determine whether the series is convergent or divergent
Chapter 9, Problem 4(choose chapter or problem)
QUESTION:
Use the Integral Test to determine whether the series is convergent or divergent.
\(\sum_{n=1}^{\infty} n^{-0.3}\)
Questions & Answers
QUESTION:
Use the Integral Test to determine whether the series is convergent or divergent.
\(\sum_{n=1}^{\infty} n^{-0.3}\)
ANSWER:Step 1 of 3
Integral test: let f be a non-negative decreasing function on \((1, \infty)\). Then the series \(\sum_{n=1}^{\infty} f(x)\) and the improper integral \(\int_{1}^{\infty} f(x) d x\) converge or diverge together on \((1, \infty)\) if \(\int_{1}^{\infty} f(x) d x=\text { finite }\) then the series will be convergent otherwise divergent.