Please use alternating series test

a) Determine if the series converges absolutely, converges conditionally, or diverges. Make sure to state what test you are using when proving that a series converges or diverges and state the criteria to use the test. (10 pts) n2 + 1 n3 - 1 n=2 b) Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series. Make sure to pay attention to the lower limit of the summation and write your solution as a simplified fraction. (5 pts)