# Thread: Need the Exact value

1. ## Need the Exact value

• $\sum_{ x=1}^\infty \frac{1}{x^3}$

2. Originally Posted by xterminal01
• $\sum_{ x=1}^\infty \frac{1}{x^3}$
To how many decimal places?

Summing 1st Term = 1
Summing Through 2nd Term = 1.125
........................ 3rd Term = 1.162037037
........................ 4th Term = 1.177662037

3. The simplest expression for this exact value is
This number is known as Apery's constant