III. Use the nth-Term Test for divergence to show that 00 n +10 n=1 is divergent, or state that the test is inconclusive. IV. Which series converge, and which di- verge? Give reasons for your answers.

Q: Σ(51) k

A:

Q: 4. Determine whether or not the series converges. State which test you use. 00 n- 2n2 + 1 n=1

A: We have to Check whether given series is convergent or divergent by Root Test.

Q: 2. Determine whether the series converges or diverges. Clearly state which tests you are using. 1…

A:

Q: Find the interval of convergence of the power series 3x" n2 n=1

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Q: (b) ∞ Σ k=1 21k5 + 3k3 + 28k2 + 4 8k6 + 2k3 –1

A:

Q: I. Determine whether the following series converge or diverge. State the test you used, and explain…

A:

Q: q3 Determine if the series converges or diverges

A: Given: ∑n=2∞1n ln(n)

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. Σ 4n 3n - 1…

A: The given series

Q: n3 converges or diverges and identify the test you used. 4. Determine whether the series S : nª + 3…

A:

Q: Sn = .444 ...

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Q: 9. Use the alternating series test to determine whether 2(-1)"ne-" converges or diverges. n=1

A:

Q: M8. following diverge for the values of p. hetermine whether the series oonverge n=3

A: We have to solve given problem:

Q: (b) Σ%1(-1)n+1 n2+5 n² +4 (b) Σ- (- 1)"+1

A: Alternating series.

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

A:

Q: - Apply a test to determine whether the series 2 3" converges or diverges. n=1

A: We can use the ratio test here Since L>1 , so this series diverges.

Q: 1 3- Test and justify whether the series > ✓n 15 Converges or diverges. n=1

A: we have to find if the given series is convergent or divergent.

Q: QI. Test the following series for being convergent or divergent: a.) (In n), b.) 3n

A:

Q: 00 2) 3) n3+5n²-17 n en n n=1 n =2

A:

Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…