Lgcd, Limit – HP 49g Graphing Calculator User Manual

Page 163

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Command:

LEGENDRE{4)

Result:

(35*X^4-30*X^2+3)/8

LGCD

Type:

Function

Description:

Returns the greatest conunon divisor of a list of
expressions or values.

Access:

Arithmetic, 0®H)

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 -03 clear).

LIMIT

Type:

Fimction

Description:

Rettims the limit of a fimction as it approaches a
specified value.

Access:

Calculus, 0{ClC)

LIMITS&SERIES

Input:

Level 2/Argument 1: An expression.

Level 1/Argument 2: An expression of the fonn,x'

=

y,

where x is the variable and y is the value at which the
limit is to be evaluated.

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 -03 clear).

Example:

Find the following limit:

(

Urn

U

^

y) X -

y

Command:

LIMIT { (X-'N-Y^N) / (X-Y) , X=Y)

Result:

N*EXP(N*LN(Y))/Y

See also:

SERIES

Page 14-40

Computer Algebra Commands

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