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)
∞
)