compute the sum from 1 to +inf of 1/n^2

Let's calculate:

\sum_{n = 1}^{+∞} \frac{1}{n^{2}}

ⅰ

\sum_{n = 1}^{+∞} \frac{1}{n^{2}}

=

\frac{π^{2}}{6}

▶Result:

\frac{π^{2}}{6}

The numeric value of:

\frac{π^{2}}{6}

equals:

\frac{{\approx 3.1416}^{2}}{6}

\frac{\approx 9.8696}{6}

▷

\approx 1.6449

The 100% free maths solver with steps

100% free

Access to every feature and every step
Unlimited queries
No signup required

Simple

Queries in natural language
Detailed explanations for every step
A simple interface for desktop and mobile

Reliable and lean

Fast calculations
Reproducible results
No AI, low energy use

For everyone

Calculation, differentiation, integration, solving, factoring, graphing...
Pupils, students, individuals, teachers…
Through high school and beyond