Determine whether the following series converge or diverge using the properties.

Maiclubk

Maiclubk

Answered question

2021-08-17

Determine whether the following series converge or diverge using the properties.
k=010k2+9

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-08-18Added 86 answers

Step 1
Calculation:
k=010k2+9
=10k=01k2+9
Applying series comparison test
k2+9>k2
1k2+9<1k2
k=01k2 convergent by p series test.
Hence by comparison test
k=01k2+9 is convergent.
Also k=010k2+9 is convergent.

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