Fiesta 4: Limits Continuity | Ap Calculus Bc | 2009-2010
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AP Calculus BC | Fiesta 4 | Limits and Continuity | Shubleka
NAME __________________ Write your solutions neatly on separate sheets. No graphing calculators are allowed.
1. Evaluate
lim |2 x −1|−x|2 x +1| x →0
2. Sketch the graph of an example of a function f that satisfies all of the given conditions: lim+ f ( x) = 4 , lim− f ( x) = 2 , lim f ( x ) = 2 , f (3) = 3 , f (−2) = 1 x →3
x →3
3. Is there a number a such that: the limit. 4. Find lim x 2 cos x→0
5. Evaluate
lim x →1
3
x →−2
lim 3 x x+2 +axx+−a2+3 exists? If so, find the value of a and the value of 2
x →−2
( ) or explain why it does not exist. 1 x2
x −1 x −1
NAME __________________ Write your solutions neatly on separate sheets. No graphing calculators are allowed.
1. Evaluate
lim |2 x −1|−x|2 x +1| x →0
2. Sketch the graph of an example of a function f that satisfies all of the given conditions: lim+ f ( x) = 4 , lim− f ( x) = 2 , lim f ( x ) = 2 , f (3) = 3 , f (−2) = 1 x →3
x →3
3. Is there a number a such that: the limit. 4. Find lim x 2 cos x→0
5. Evaluate
lim x →1
3
x →−2
lim 3 x x+2 +axx+−a2+3 exists? If so, find the value of a and the value of 2
x →−2
( ) or explain why it does not exist. 1 x2
x −1 x −1
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