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To test the series ?_{k=1}^{?} 1/?{k^5} for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test: ?_{k=1}^{?} 1/?{k^5} diverges ?_{k=1}^{?} 1/?{k^5} converges the P-test does not apply to ?_{k=1}^{?} 1/?{k^5} Now compute s_5, the partial sum consisting of the first 5 terms of ?_{k=1}^{?} 1/?{k^5}: s_5 =

          To test the series ?_{k=1}^{?} 1/?{k^5} for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test:
?_{k=1}^{?} 1/?{k^5} diverges
?_{k=1}^{?} 1/?{k^5} converges
the P-test does not apply to ?_{k=1}^{?} 1/?{k^5}
Now compute s_5, the partial sum consisting of the first 5 terms of ?_{k=1}^{?} 1/?{k^5}:
s_5 =

Show more…

To test the series ?k=1^? 1/?k^5 for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test:
?k=1^? 1/?k^5 diverges
?k=1^? 1/?k^5 converges
the P-test does not apply to ?k=1^? 1/?k^5
Now compute s5, the partial sum consisting of the first 5 terms of ?k=1^? 1/?k^5:
s5 =

Added by Miriam B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Manisha Sarker

08/23/2023

Step 1

It seems like some information is missing from the question. However, based on the context, it seems like we are working with a p-series, which has the general form: $$\sum_{n=1}^{\infty} \frac{1}{n^p}$$ To test the convergence of this series, we can use the Show more…

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To test the series for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test: Now compute s5, the partial sum consisting of the first 5 terms of

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