20021201
2-7-10
Using the Action Menu
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lim
Function: Determines the limit of an expression.
Syntax: lim (Exp/List, variable, point [,direction] [ ) ]
Example: To determine the limit of
e
–
x
as
x
approaches
⬁
Menu Item: [Action][Calculation][lim]
Example: To determine the limit of
1/
x
as
x
approaches 0 from the right
Menu Item: [Action][Calculation][lim]
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Σ
Function: Evaluates an expression at discrete variable values within a range, and then
calculates a sum.
Syntax:
Σ
(Exp/List, variable, lower value, upper value [ ) ]
Example: To calculate the sum of
x
2
as the value of
x
changes from
x
= 1 through
x
=10.
Menu Item: [Action][Calculation][
Σ
]
Example: To determine the limit of
1/
x
as
x
approaches 0 from the left
Menu Item: [Action][Calculation][lim]
• This function returns the limit from the left when “direction” < 0, the limit from the right
when “direction” > 0, and the limit from both sides (left and right) when “direction” = 0 or
when the direction is omitted.
u
u
u
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Π
Function: Evaluates an expression at discrete variable values within a range, and then
calculates a product.
Syntax:
Π
(Exp/List, variable, lower value, upper value [ ) ]
Example: To calculate the product of
x
2
as the value of
x
changes from
x
= 1 through
x
= 5
Menu Item: [Action][Calculation][
Π
]
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