Please complete all the parts with full answer

1. Consider the following series. n=2 nVInn (a) (5 points) State the complete name of the test you're using to prove convergence or divergence. (b) (5 points) List the conditions necessary to apply the aforementioned test and verify that the series satisfies these conditions. (c) (10 points) Prove whether the series converges or diverges using the aforemen- tioned test. If you are using one of the comparison tests, make sure to clearly label your comparison series and explain why it converges or diverges