HP 48gII Graphing Calculator Bedienungsanleitung PDF herunterladen (Seite 460)

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Function TAYLR produces a Taylor series expansion of a function of any

variable x about a point x = a for the order k specified by the user. Thus, the

function has the format TAYLR(f(x-a),x,k). For example,

Function SERIES produces

a Taylor polynomial using as arguments the function

f(x) to be expanded, a variable name alone (for Maclaurin’s series) or an

expression of the form ‘variable = value’ indicating the point of expansion of

a Taylor series, and the order of the series to be produced. Function SERIES

returns two output items a list with four items, and an expression for h = x - a,

if the second argument in the function call is ‘x=a’, i.e., an expression for the

increment h. The list returned as the first output object includes the following

items:

1 - Bi-directional limit of the function at point of expansion, i.e.,

)(lim xf

ax→

2 - An equivalent value of the function near x = a

3 - Expression for the Taylor polynomial

4 - Order of the residual or remainder

Because of the relatively large amount of output, this function is easier to

handle in RPN mode. For example:

Drop the contents of stack level 1 by pressing ƒ, and then enter µ, to

decompose the list. The results are as follows:

1 2 ... 455 456 457 458 459 460 461 462 463 464 465 ... 863 864

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