# Lgcd; Limit; Lim; Lin - HP 48gII Advanced User's Reference Manual

Graphing calculator.

## LGCD

Type:
Function
Description:
Returns the greatest common divisor of a list of expressions or values.
Arithmetic, !Þ L
Access:
Input:
A list of expressions or values.
Output:
Level 2/Item 1: The list of elements.
Level 1/Item 2: The greatest common divisor of the elements.
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).
GCD

### 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 below, and is included to ensure backward-
compatibility with the HP49G calculator.
Catalog, ...µ
Access:

### lim

Type:
Function
Description:
Returns the limit of a function as its argument approaches a specified value. Expands and
simplifies an algebraic expression.
Calculus, !Ö
Access:
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
--------------- -
x
y
Command: lim
((X^N-Y^N)/(X-Y), X=Y)
Result:
N*EXP(N*LN(Y))/Y
SERIES

### LIN

Type:
Command
Description:
Linearizes expressions involving exponential terms.
...× or Exponential and logarithm, !Ð or P
Access:
or PL
4-48 Computer Algebra Commands
&
LIMITS
SERIES
n
n
y
x y
.
EXPLN
, or
ALG
REWRITE
,

49g+

Symbols: 0