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Power series

• Power series

Types of series

• Taylor series
• Maclaurin series
• Laurent series

Power series for general functions

• Power series for the exponential function
• Power series for the logarithm
• Power series for the square root
• Power series for the the number e
• Power series for the Lambert W function

Power series for circular functions

• Power series for the sine
• Power series for the cosine
• Power series for the tangent

• Power series for the cosecant
• Power series for the secant
• Power series for the cotangent

Power series for inverse circular functions

• Power series for the inverse sine
• Power series for the inverse cosine
• Power series for the inverse tangent

• Power series for the inverse cosecant
• Power series for the inverse secant
• Power series for the inverse cotangent

Power series for hyperbolic functions

• Power series for the hyperbolic sine
• Power series for the hyperbolic cosine
• Power series for the hyperbolic tangent

• Power series for the hyperbolic cosecant
• Power series for the hyperbolic secant
• Power series for the hyperbolic cotangent

Power series for inverse hyperbolic functions

• Power series for the inverse hyperbolic sine
• Power series for the inverse hyperbolic cosine
• Power series for the inverse hyperbolic tangent

• Power series for the inverse hyperbolic cosecant
• Power series for the inverse hyperbolic secant
• Power series for the inverse hyperbolic cotangent

Particularities

• Infinite series
• Grandi's series

 

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