Infinite Series Calculator


Infinite Series calculator is a free online tool that gives the summation value of the given function for the given limits. BYJU’S online infinite series calculator tool makes the calculations faster and easier where it displays the value in a fraction of seconds.

How to Use Infinite Series Calculator?

The procedure to use the infinite series calculator is as follows:

Step 1: Enter the function in the first input field and apply the summation limits “from” and “to” in the respective fields

Step 2: Now click the button “Submit” to get the output

Step 3: The summation value will be displayed in the new window

Infinite Series Definition

An infinite series is defined as the sum of the values in an infinite sequence of numbers.

Assume the sequence n = 0 + 1 + 2 +3 + ….. which is undefined. The notation Sigma “Σ” is often used to represent the infinite series. The summation or sigma symbol means “sum up”.

Standard Form

The standard form to represent the infinite series 1, 2, 3,….is

\(\begin{array}{l}\sum_{0}^{\infty }r^{n}\end{array} \)


0 is the lower limit

∞ is the upper limit

r is the function

The infinite series formula is defined by

\(\begin{array}{l}\sum_{0}^{\infty }r^{n} = \frac{1}{1-r}\end{array} \)

Frequently Asked Questions on Infinite Series

What is meant by sequences and series?

A sequence is a list of numbers or events that have been ordered sequentially. A series is defined as the sum of the terms of the sequence.

Give an example for sequences and series?

Sequence Example: 1, 3, 5, 7, …

Series Example: 1 + 3 + 5 + 7+ ….

What are the different types of series?

The different types of series are:

  • Harmonic series
  • Geometric series
  • P-series
  • Alternating series
  • Power series

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