5. Use the Integral test to determine whether the series k converges or diverges Ak*+1 You do not need to show that the test applies.

Q: Use the integral test to show that the p series converges for p>1.

A:

Q: To test this series for convergence 00 n3+5 where p- You could use the Limit Comparison Test,…

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 Σ 1 n4/5 n =…

A: Given series is ∑n=2∞1n45 - 1

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

A:

Q: ·(-1)* x* 5) Identify the function representation of the series E) * 4* and give its interval k = 0…

A: The given series∑k=0∞(-1)kxk4k

Q: 2. Prove that the p-series converges for p > 1.

A:

Q: 00 4 converges if and only if the value of x is on the interval The series n2x+7 n=1 [ Select ] […

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Q: 6. Express the power series: >(-3)"(x)"-1 n=0 As a function. Then find its radius and interval of…

A: We can calculate radius of convergence by ratio test and then find interval of convergence