1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the Integral Test, as is the case with all series of this type.) According to the P-test: 00 1 the P-test does not apply to k2 k=1 1 diverges k2 k=1 1 converges k2 k=1 1 Now compute s3, the partial sum consisting of the first 3 terms of k2 * k=1 S3
1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the Integral Test, as is the case with all series of this type.) According to the P-test: 00 1 the P-test does not apply to k2 k=1 1 diverges k2 k=1 1 converges k2 k=1 1 Now compute s3, the partial sum consisting of the first 3 terms of k2 * k=1 S3
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Transcribed Image Text:1
for convergence, you can use the P-test. (You
k2
To test the series
k=1
could also use the Integral Test, as is the case with all series of this type.)
According to the P-test:
1
the P-test does not apply to
k2
k=1
1
diverges
k2
k=1
1
converges
k2
k=1
1
Now compute s3, the partial sum consisting of the first 3 terms of
k2
k=1
S3 =
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