HP 40gs User Manual page 204

Graphing calculator
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hp40g+.book Page 22 Friday, December 9, 2005 1:03 AM
14-22
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:
(
(
(
lim QUOTE 2X 1
gives:
+∞
To find a right limit, for example, type:
1
,
----------- - QUOTE 1
lim
X 1
gives (if X is the current variable):
+∞
To find a left limit, for example, type:
1
----------- - QUOTE 1 0
,
lim
X 1
gives (if X is the current variable):
–∞
It is not necessary to quote the second argument when it
is written with =, for example:
1
,
(
----------- - X
lim
=
1
+
X 1
gives:
+∞
Example
For n > 2 in the following expression, find the limit as x
approaches 0:
x ( )
(
n x ⋅
)
n
tan
tan
--------------------------------------------------- -
(
n x ⋅
)
x ( )
sin
n
sin
You can use the LIMIT command to do this.
1
⎞ X
)
----------- -
EXP
,
=
+
X 1
(
)
+
0
(
)
)
0
Computer Algebra System (CAS)
)

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