13a) n=1 3n + 5" + 2 n5+

Q: 8. Determine whether the series is convergent or divergent: Σ n-5√n 1+3n²

A:

Q: Determine if the series is convergent or divergent by using Comparison Test 1+2h مم h=1 h²+2h

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, n2 n=1 how many terms…

A: To find- If the given series is convergent.

Q: Use the ratio test to determine whether the series is convergent or divergent.

A: To solve the following

Q: Use the ratio testor the root test to determine whether the series converges or diverges.

A:

Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: Provide examples of sequences or series where bounded summation is applicable.

A: We need to provide example.

Q: 1-

A:

Q: 3η-4 9. Ση- Σn2η? + 5n- 5

A: We have to test the given series is convergent or divergent.  For this we will use the limit…

Q: Give an example of a series that converges by the integral test.

A:

Q: Prove that the harmonic series diverges. Provide complete detail.

A: Theorem 1 : A monotone increasing sequence , if bounded above , is convergent and it converges to…

Q: n+1 S-1)**1 2" By the series test: n=1 n°

A: