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Math 76O-250 Calculus for Business
Self-marking on-line assignment 2

Evaluating Limits
Best submitted over the internet by 1:00 PM on Wednesday 13 September 2017

Methods will be discussed in class

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Using a calculator is NOT allowed on this practice assignment.

SOLVED EXAMPLE PROBLEM
Find the following limit:
x 2
( x² - x - 2

x² - 5x + 6
) =
x 2
( (x- 2) ( x + 1)

(x - 2) (x - 3)
) =
x 2
( x + 1

x - 3
) = ( 2 + 1

2 - 3
) = (- 3)

[1] (value 10%)
Find the following limit:
x 2
   ( x3 - 2x2 + x - 3 )   = (enter a number or write "undefined")
[2] (value 10%)
Find the following limit:
x 1
   ( x² - 4

x - 2
)   = (enter a number or write "undefined")

[3] (value 10%)
Find the following limit:
x 2
   ( x² - 4

x - 2
)   = (enter a number or write "undefined")

[4] (value 10%)
Find the following limit:
x 2
   ( x - 4

x - 2
)   = (enter a number or write "undefined")

[5] (value 10%)
Find the following limit:
x 3
   ( 2x² - 3x - 9

x - 3
)   = (enter a number or write "undefined")

[6] (value 10%)
Find the following limit:
x 4
   ( 2x² - 5x - 12

5x² - 18x - 8
)   = (enter a number or write "undefined")

[7] (value 10%)
Find the following limit:
x 3
   ( 3x4 - 13x³ + 12x²

x³ - 3x²
)   = (enter a number or write "undefined")

[8] (value 10%)
Find the following limit:
x 9
   (
x - 9

 x
- 3
)
= (enter a number or write "undefined")

[9] (value 10%)
(One-sided limits) If a relationship between x
and y is defined by the red graph at the right :
Then  
x 2+
( y ) = (enter a number or write "undefined")
And  
x 2-
( y ) = (enter a number or write "undefined")

[10] (value 10%)
(One-sided limits) If a relationship between x
and y is defined by the red graph at the right :
Then  
x 2+
( y ) = (enter a number or write "undefined")
And  
x 2-
( y ) = (enter a number or write "undefined")

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