# Infinite Series Calculator

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

### Inputs

The inputs of the calculator are:

1. Function whose sumation is to be calculated.
2. From i.e bottom limit
3. To i.e upper limit

### Steps To Use

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

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

### Outputs

The outputs of the calculator are:

1. The integration to be done to find out the summation
2. 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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