please answer both questions from your own work on a paper providing all steps for good feedback.

'T. The integral test is useful when the dening equation of a series mimics an easil}r integrable function that meets the necessaryr conditions [continuous, positive, decreasing...]. a] Show that the series below meets the initial conditions for the integral test. Then use the integral test to determine the convergence or divergence of the series. Si: 1+ :+1+1+1+--- n2 15 25 71:1 b] Any series of the form 1 1 1 1 1 + p3+ + +M+ M Mr H is called a p-series. Both the harmonic series and the series shown in part a are examples of p-series. Use an integral test to determine which values of p cause a p-series to converge and which values of p cause itto diverge. El. The comparison test andfor the limit comparison test are useful when a series resemhles another series whose convergence or divergence is known:__ a] Use the comparison test to determine whether the series converges or diverges. Z 1\" 311.2 + 5n + 1 n=1 b] Explain why the comparison test fails with this series. {I} Z 1\" 31125111 n=1 c] Use the limit comparison test to determine if the series in part b converges or diverges