HP 40gs - Manual (Page 204)

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 1 0 + = ( ) ,
⎝ ⎠
⎛ ⎞
n x ( ) tan n x ⋅ ( ) tan – ⋅
n x ⋅ ( ) sin n x ( ) sin ⋅ –
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