HP 48gII Graphing, 50g Graphing manual Limit, Lin, Title, nlib, nport, ...,title, nlib, nport

Models: 50g Graphing 48gII Graphing

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Access:

…µLIBS

 

Input/Output:

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

{“title”, nlib, nport, ...,“title”, nlib, nport }

 

ATTACH,

 

 

See also:

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 xn yn

 

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

 

x yx 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 backwardcompatibility

 

with the HP 49G calculator.

Access:

Catalog, …µ

LIN

 

Type:

Command

Description:

Linearizes expressions involving exponential terms.

Access:

…×or Exponential and logarithm, or PALG, or REWRITE, or

 

PLEXPLN.

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).

Full Command and Function Reference 3131

Page 251
Image 251
HP 48gII Graphing, 50g Graphing manual Limit, Lin, Title, nlib, nport, ...,title, nlib, nport