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Evaluating Limits Worksheet Evaluate the following limits without using a calculator. 1) lim x3 2 x 2 5 x 3 x 3 2) lim x2 x 4 16 x 2 3) lim x→−1 x 4 + 3x 3 x 2 + x + 4 x + 1 4) lim x0 x + 4 2 x 5) lim x3 x + 6 x x 3

Evaluating Limits Worksheet - Southern Oregon Universitywebpages.sou.edu/~stonelakb/math/pdf/Evaluating Limi… ·  · 2014-06-26Evaluating Limits Worksheet Author: Brian Stonelake

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Page 1: Evaluating Limits Worksheet - Southern Oregon Universitywebpages.sou.edu/~stonelakb/math/pdf/Evaluating Limi… ·  · 2014-06-26Evaluating Limits Worksheet Author: Brian Stonelake

Evaluating*Limits*Worksheet**Evaluate*the*following*limits*without*using*a*calculator.*1) lim

x→3

2x2 − 5x − 3x − 3

****

*****

2) limx→2

x4 −16x − 2

*******

*3) lim

x→−1

x4 + 3x3 − x2 + x + 4x +1

**********4) lim

x→0

x + 4 − 2x

********

*5) lim

x→3

x + 6 − xx − 3

*******

Page 2: Evaluating Limits Worksheet - Southern Oregon Universitywebpages.sou.edu/~stonelakb/math/pdf/Evaluating Limi… ·  · 2014-06-26Evaluating Limits Worksheet Author: Brian Stonelake

6) limx→−2

12+ 1x

x + 2*

******7) lim

x→ 12

x−1 − 2x − 1

2

********

8) limx→3

1x2

− 19

x − 3*

*******9) lim

x→0

x + 2 − 2x

*

******

10) * limx→3

x2 − 9x − 3

*

******11) lim

x→0

5x2 + x

− 5x

⎛⎝⎜

⎞⎠⎟ *