HP 40gs Instrukcja Użytkownika Pobierz pdf (Strona 208)

100

101

14-26 Computer Algebra System (CAS)

You must be in Rigorous (not Sloppy) mode to apply

SERIES with unidirectional expansion. (See “CAS modes”

on page 14-5 for instructions on setting and changing

modes.

Example 1

Give a 3rd-order expansion of in the vicinity of

x = 0

Typing:

gives:

Example 2

Give a 3rd-order expansion of in the vicinity of

x = 0

–

Typing:

gives:

Note that h = –x is positive as x → 0

–

Example 3

If you enter the order as an integer rather than a real, as

in:

you will get the following error:

SERIES Error: Unable to find sign.

Note that if you had been in Sloppy rather than Rigorous

mode, all three examples above would have returned the

same answer as you got when exploring in the vicinity of

x = 0

SERIES X

+ X 03.0,=,()

------

⋅

1–

------

⋅

---

⋅ h+++0h

()+ hx=()

ERIES X

+ X 03.0–,=,(

)

1–

------

⋅

1–

------

⋅

1–

------

⋅ h 0 h

()++++ hx–=()

SERIES X

+ X 03,=,()

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