Taylor series expansion - Maple Help

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taylor - Taylor series expansion

Calling Sequence

taylor(expression, x=a, n)

Parameters

expression

-

expression

x

-

name; independent variable

a

-

real constant; expansion point

n

-

non-negative integer; expansion order

Description

• 

The taylor command computes the order n  Taylor series  expansion of expression, with respect to the variable x, about the point a.

Thread Safety

• 

The taylor command is thread-safe as of Maple 15.

• 

For more information on thread safety, see index/threadsafe.

Examples

taylorⅇx,x=0,4

1+x+12x2+16x3+Ox4

(1)

taylor1x,x=1,3

1x1+x12+Ox13

(2)

taylorsinx,x=π

xπ+16xπ31120xπ5+Oxπ7

(3)

taylor1+x,x,8

1+12x18x2+116x35128x4+7256x5211024x6+332048x7+Ox8

(4)

taylor1+x,x=0,8

1+12x18x2+116x35128x4+7256x5211024x6+332048x7+Ox8

(5)

Details

  

For detailed information including:

• 

Optional parameters

• 

Converting a Taylor series to a polynomial

• 

The general series command

  

see the taylor/details help page.

See Also

mtaylor, series


Download Help Document

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