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To test the series ?_{k=1}^{?} 1/k^4 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^4 converges ? ?_{k=1}^{?} 1/k^4 diverges ? the P-test does not apply to ?_{k=1}^{?} 1/k^4 Now compute s4, the partial sum consisting of the first 4 terms of ?_{k=1}^{?} 1/k^4: s4 =

          To test the series ?_{k=1}^{?} 1/k^4 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^4 converges
? ?_{k=1}^{?} 1/k^4 diverges
? the P-test does not apply to ?_{k=1}^{?} 1/k^4
Now compute s4, the partial sum consisting of the first 4 terms of ?_{k=1}^{?} 1/k^4:
s4 =

Show more…

To test the series ?k=1^? 1/k^4 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^4 converges
? ?k=1^? 1/k^4 diverges
? the P-test does not apply to ?k=1^? 1/k^4
Now compute s4, the partial sum consisting of the first 4 terms of ?k=1^? 1/k^4:
s4 =

Added by Cameron R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhaojie Xu

07/17/2022

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2i and diverges for other values of k. 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: converges; diverges; the P-test does not apply to. Now compute s4, the partial sum consisting of the first 4 terms of.

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