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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
1
X 1–
------------
⎝⎠
⎛⎞
⎠
⎞
X ∞+= ),⋅
lim
1
X 1–
------------
QUOTE 1 0+(),
⎝⎠
⎛⎞
lim
1
X 1–
------------
QUOTE 1 0–(),
⎝⎠
⎛⎞
lim
1
X 1–
------------
X 10+=(),
⎝⎠
⎛⎞
nx()tan nx⋅
()tan–⋅
nx⋅()sin nx()sin⋅–
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hp40g+.book Page 22 Friday, December 9, 2005 1:03 AM