Manual HP 49g graphing calculator (page 140 of 175) (English)

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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, the following screen shots show the RPN

stack before and after using function SERIES:

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

decompose the list. The results are as follows:

In the right-hand side figure above, we are using the line editor to see the

series expansion in detail. To get this result use: ƒ˜.

Reference

Additional definitions and applications of calculus operations are presented in

Chapter 13 in the calculator’s user’s guide.

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HP 49g graphing calculator Manual

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