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Student[NumericalAnalysis]

  

RateOfConvergence

  

compute the rate of convergence of a sequence or function

 

Calling Sequence

Parameters

Options

Description

Examples

Calling Sequence

RateOfConvergence(S, n, opts)

Parameters

S

-

algebraic; the function or sequence

n

-

name; the name of the indexing variable

opts

-

(optional) equation(s) of the form keyword = value where keyword is isfunction; whether S is is a function or sequence

Options

• 

isfunction = true or false

  

Whether to find the rate of convergence of a sequence or a function.  If S is a function, isfunction must be set to true. By default, isfunction=false.

Description

• 

The RateOfConvergence command computes the rate of convergence of a sequence or function.

• 

If S is a function, the option isfunction must be set to true.

• 

By default, the isfunction option is set to false.

Examples

withStudent[NumericalAnalysis]:

RateOfConvergence1+1n,n

1+O1n

(1)

RateOfConvergence121n2,n

12+O1n2

(2)

RateOfConvergenceⅇx,x,isfunction=true

1+Ox

(3)

See Also

Student[NumericalAnalysis]

Student[NumericalAnalysis][ComputationOverview]

 


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