HP 40gs User Manual page 204

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
⎝
X 1 –
gives:
+∞
Example
For n > 2 in the following expression, find the limit as x
approaches 0:
⋅ x ( )
n tan – tan
--------------------------------------------------- -
( n x ⋅ )
sin – n
You can use the LIMIT command to do this.
⎛
( ( ) ⋅
----------- -
– EXP
⎝
X 1
⎞
( )
+ 0
⎠
⎞
( )
–
⎠
⎞
)
= 1 + 0
⎠
( n x ⋅ )
⋅ x ( )
sin
Computer Algebra System (CAS)
1
⎞ ⎞ X
∞ )
, = +
⎠ ⎠
–