HP 40gs Instrukcja Użytkownika Pobierz pdf (Strona 204)

100

101

14-22 Computer Algebra System (CAS)

QUOTE(expression), to avoid rewriting the expression in

normal form (i.e., not to have a rational simplification of

the arguments) during the execution of the LIMIT

command.

Example

Typing:

gives:

+∞

To find a right limit, for example, type:

gives (if X is the current variable):

+∞

To find a left limit, for example, type:

gives (if X is the current variable):

–∞

It is not necessary to quote the second argument when it

is written with =, for example:

gives:

+∞

Example

For n > 2 in the following expression, find the limit as x

approaches 0:

You can use the LIMIT command to do this.

lim QUOTE 2X 1–()(( EXP

X 1–

------------

⎝⎠

⎛⎞

⎠

⎞

X ∞+= ),⋅

lim

X 1–

------------

QUOTE 1 0+(),

⎝⎠

⎛⎞

lim

X 1–

------------

QUOTE 1 0–(),

⎝⎠

⎛⎞

lim

X 1–

------------

X 10+=(),

⎝⎠

⎛⎞

nx()tan nx⋅

()tan–⋅

nx⋅()sin nx()sin⋅–

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