4-48 Computer Algebra Commands
LGCD
Type: Function
Description: Returns the greatest common divisor of a list of expressions or values.
Access: Arithmetic, !Þ L
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).
See also: 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.
Access: Catalog, …µ
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, !Ö
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
xy→
⎝⎠
⎛⎞
x
n
y
n
–
xy–
----------------
Command: lim((X^N-Y^N)/(X-Y), X=Y)
Result: N*EXP(N*LN(Y))/Y
See also: SERIES
LIN
Type: Command
Description: Linearizes expressions involving exponential terms.
Access: …× or Exponential and logarithm, !Ð or PALG, or !Ú REWRITE,
or PLEXPLN.
To Next Page
Loading...
