Reference Guide

Full Command and Function Reference 3-131
Access: …µ
LIBS
Input/Output:
Level 1/Argument 1 Level 1/Item 1
{“title”, n
lib
, n
port
, ...,“title”, n
lib
, n
port
}
See also: ATTACH, DETACH
lim
Type: Function
Description: Returns the limit of a function as its argument approaches a specified value. Expands and
simplifies an algebraic expression.
Access: Calculus,
LIMITS
&
SERIES
Input: Level 2/Argument 1: An expression.
Level 1/Argument 2: An expression of the form x = y, where x is the variable and y is the value at
which the limit is to be evaluated. If the variable approaching a value is the current CAS variable,
it is sufficient to give its value alone. The ∞ symbol provided by the calculator can be used to set
the limiting value at plus or minus infinity.
Output: The limit of the expression at the limit point.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Find the following limit:
lim
x y
x
n
y
n
x y
----------------
Command: lim
((X^N-Y^N)/(X-Y), X=Y)
Result:
N*EXP(N*LN(Y))/Y
See also: SERIES
LIMIT
Type: Function
Description: Returns the limit of a function as its argument approaches a specified value. This function is
identical to the lim function, described above, and is included to ensure backward-compatibility
with the HP 49G calculator.
Access: Catalog, …µ
LIN
Type: Command
Description: Linearizes expressions involving exponential terms.
Access: …× or Exponential and logarithm, or P
ALG
, or
REWRITE
,
or
PL
EXPLN
.
Input: An expression.
Output: The linearized expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).