Need help for this question. ### Infinite Series Problem**Objective:** Find the exact value of each convergent infinite series.#### a) Series Expression\[\sum_{n=1}^{\infty} \frac{2}{4n^2 - 1}\]#### b) Series Expression\[\sum_{n=0}^{\infty} 2 \left(\frac{3}{4}\right)^n\]### Explanation:- **Series (a):** This is a series where each term is in the form \(\frac{2}{4n^2 - 1}\). You are tasked with finding whether the series converges and, if so, calculating its exact value.- **Series (b):** This is a geometric series given by \(2 \left(\frac{3}{4}\right)^n\) with \(n\) starting from 0. You need to determine if the series converges and find its sum.When addressing these problems, one typically checks for convergence using applicable tests or formulas and calculates the series' sum if convergent.

Name: Need help for this question. ### Infinite Series Problem**Objective:**
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Need help for this question. ### Infinite Series Problem**Objective:** Find the exact value of each convergent infinite series.#### a) Series Expression\[\sum_{n=1}^{\infty} \frac{2}{4n^2 - 1}\]#### b) Series Expression\[\sum_{n=0}^{\infty} 2 \left(\