Which of the following statements about the series below is true

Question

∑_{n = 1} ^∞ (-1)ⁿ/1+√n

A. The series converges absolutely.

B. The series converges conditionally.

C. The series converges but neither conditionally nor absolutely.

D. The series diverges.

Answer 1

The series converges by Leibnitz's Theorem but it does not converge absolutely by the integral test...and you will need to check those 2 theorems if you are not familiar with them.