# Category:Examples of Power Series

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This category contains examples of **power series expansions**.

Let $\xi \in \R$ be a real number.

Let $\sequence {a_n}$ be a sequence in $\R$.

The series $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$, where $x \in \R$ is a variable, is called a **power series in $x$ about the point $\xi$**.

## Subcategories

This category has the following 14 subcategories, out of 14 total.

## Pages in category "Examples of Power Series"

The following 68 pages are in this category, out of 68 total.

### P

- Power Series Expansion for Complementary Error Function
- Power Series Expansion for Cosecant Function
- Power Series Expansion for Cosine Function
- Power Series Expansion for Cosine Integral Function plus Logarithm
- Power Series Expansion for Cotangent Function
- Power Series Expansion for Cube Root of 1 + x
- Power Series Expansion for Error Function
- Power Series Expansion for Exponential Function
- Power Series Expansion for Exponential Integral Function
- Power Series Expansion for Exponential of Cosine of x
- Power Series Expansion for Exponential of Sine of x
- Power Series Expansion for Exponential of Tangent of x
- Power Series Expansion for Exponential of x by Cosine of x
- Power Series Expansion for Exponential of x by Sine of x
- Power Series Expansion for Fresnel Cosine Integral Function
- Power Series Expansion for Fresnel Sine Integral Function
- Power Series Expansion for General Exponential Function
- Power Series Expansion for Half Logarithm of 1 + x over 1 - x
- Power Series Expansion for Harmonic Numbers
- Power Series Expansion for Hyperbolic Cosecant Function
- Power Series Expansion for Hyperbolic Cosine Function
- Power Series Expansion for Hyperbolic Cotangent Function
- Power Series Expansion for Hyperbolic Secant Function
- Power Series Expansion for Hyperbolic Sine Function
- Power Series Expansion for Hyperbolic Tangent Function
- Power Series Expansion for Integer Power of Exponential Function minus 1
- Power Series Expansion for Logarithm of 1 + x
- Power Series Expansion for Logarithm of 1 + x over 1 + x
- Power Series Expansion for Logarithm of 1 + x/Corollary
- Power Series Expansion for Logarithm of Cosine of x
- Power Series Expansion for Logarithm of Gamma Function
- Power Series Expansion for Logarithm of Sine of x
- Power Series Expansion for Logarithm of Tangent of x
- Power Series Expansion for Logarithm of x
- Power Series Expansion for Logarithm of x/Formulation 1
- Power Series Expansion for Logarithm of x/Formulation 2
- Power Series Expansion for nth Power of Logarithm of Reciprocal of 1-z
- Power Series Expansion for Real Arccosecant Function
- Power Series Expansion for Real Arccosine Function
- Power Series Expansion for Real Arccotangent Function
- Power Series Expansion for Real Arcsecant Function
- Power Series Expansion for Real Arcsine Function
- Power Series Expansion for Real Arctangent Function
- Power Series Expansion for Real Area Hyperbolic Cosecant
- Power Series Expansion for Real Area Hyperbolic Cosine
- Power Series Expansion for Real Area Hyperbolic Cotangent
- Power Series Expansion for Real Area Hyperbolic Secant
- Power Series Expansion for Real Area Hyperbolic Sine
- Power Series Expansion for Real Area Hyperbolic Tangent
- Power Series Expansion for Reciprocal of 1 + x
- Power Series Expansion for Reciprocal of 1-z to the m+1 by Logarithm of Reciprocal of 1-z
- Power Series Expansion for Reciprocal of Cube of 1 + x
- Power Series Expansion for Reciprocal of Cube Root of 1 + x
- Power Series Expansion for Reciprocal of Square of 1 + x
- Power Series Expansion for Reciprocal of Square of 1 - z
- Power Series Expansion for Reciprocal of Square Root of 1 + x
- Power Series Expansion for Reciprocal of Square Root of 1 - x
- Power Series Expansion for Secant Function
- Power Series Expansion for Sine Function
- Power Series Expansion for Sine Integral Function
- Power Series Expansion for Spence's Function
- Power Series Expansion for Square Root of 1 + x
- Power Series Expansion for Square Root of 1 - x
- Power Series Expansion for Tangent Function