01 - limits by direct evaluation
DESCRIPTION
Worksheet of limitsTRANSCRIPT
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Kuta Software - Infinite Calculus Name___________________________________
Period____Date________________Evaluating LimitsEvaluate each limit.
1)
lim
x15 2)
lim
x
52
(
x + 2)
3)
lim
x2(
x3
x2 4)4)
lim
x1 (
x2
2 + 2
x + 4)
5)
lim
x3
x + 3 6)
lim
x
32
2
x + 4
7)
lim
x1
x 4
x2 6
x + 88)
lim
x
32
x 3
x2 +
x + 1
9)
lim
x
pi
sin
(
x) 10)
lim
x
3
pi
4
2cos
(
x)
Critical thinking questions:
11) Give an example of a limit that evaluates to 4. 12) Give an example of a limit of a quadraticfunction where the limit evaluates to 9.
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w X2k0T1O3C DKbu4taaD 3SBo6fLtSwlavrCei MLJLrCG.E T iAmlUld KrSiGg4hhtFsc 3rCe7soeQrwvReOdr.V S oMMasdpeF fwzimtCho UI0n0fziln6iet7ek cCLamltcmuZl3uSsk.g Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____Date________________Evaluating LimitsEvaluate each limit.
1)
lim
x15
5
2)
lim
x
52
(
x + 2)
92
3)
lim
x2(
x3
x2 4)0
4)
lim
x1 (
x2
2 + 2
x + 4)
112
5)
lim
x3
x + 3
6
6)
lim
x
32
2
x + 4
7
7)
lim
x1
x 4
x2 6
x + 8
1
8)
lim
x
32
x 3
x2 +
x + 1
1819
9)
lim
x
pi
sin
(
x)0
10)
lim
x
3
pi
4
2cos
(
x)
2
Critical thinking questions:
11) Give an example of a limit that evaluates to 4.Many answers. Ex:
lim
x4
x
12) Give an example of a limit of a quadraticfunction where the limit evaluates to 9.Many answers. Ex:
lim
x3
x2
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