HP 40gs, User Manual

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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 2 X 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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