The Infinite Series Calculator is an online calculator which can calculate the sum of all the values of a given function between given limit values. Protonstalk’s online infinite series calculator is a handy tool that helps you by displaying the summation value of a function in seconds and thus speeds up your calculations.

Index

## About Infinite Series Calculator

### Inputs

The inputs of the calculator are:

- Function whose sumation is to be calculated.
- From i.e bottom limit
- To i.e upper limit

### Steps To Use

The infinite series calculator will be used in the following manner:

- Enter the function in the first input field and use the summation limits “from” and “to” in the subsequent fields.
- Now, click the “Submit” button to see the results.
- In the new window, the summation value will be displayed.

### Outputs

The outputs of the calculator are:

- The integration to be done to find out the summation
- The result

## Infinite Series Definition

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

An infinite series can either be defined or can be undefined.

The series of natural numbers n = 0 + 1 + 2 + 3 +….. is **undefined** as it doesn’t go close to any finite number.

Whereas a series of reciproacals of natural numbers is **defined** as the sum approaches a finite number

The notation Sigma “\(\sum\)” is frequently used to represent the infinite series. The summation or sigma symbol means “to add up.”

## Standard Form

The standard notation for representing the infinite series 1, 2, 3,…. is

\(\sum_{0}^{\infty }f(x)^{n}\)Where,

\(\infty\) is the upper limit

0 is the lower limit

f(x) is the function

## FAQs

**What is meant by sequences and series?**

A sequence is a list of numbers or events that have been ordered in a particular order. A series is defined as the sum of the sequence’s terms.

**What are the different types of series?**

The various types of series are as follows:

Geometric series

Harmonic series

P-series

Alternating series

Power series

**Give an example for series and sequence?**

Series Example: 1 + 3 + 5 + 7+ ….

Sequence Example: 1, 3, 5, 7, …

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