hp40g+.book Page 22 Friday, December 9, 2005 1:03 AM

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) ⋅ EXP⎛-----------1-⎞ ⎞

,X = + ∞)

 

⎝X – 1⎠ ⎠

 

gives:

 

 

+∞

 

 

To find a right limit, for example, type:

 

lim⎛-----------1-

, QUOTE(1 + 0)⎞

 

⎝X – 1

⎠

 

gives (if X is the current variable):

+∞

To find a left limit, for example, type:

⎛ 1 , ( )⎞ lim⎝------------ QUOTE 1 – 0 ⎠

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 , ( )⎞ lim⎝------------ X = 1 + 0 ⎠

X – 1

gives:

+∞

Example

For n > 2 in the following expression, find the limit as x approaches 0:

n ⋅ tan(x) – tan(n ⋅ x)

----------------------------------------------------

sin(n ⋅ x) – n ⋅ sin(x)

You can use the LIMIT command to do this.

14-22

 

 

Computer Algebra System (CAS)