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D. P. Story, Spring 2015

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Calculus I

D. P. Story, Spring 2015

Quiz 1–003 Name:

SID:

Instructions: (10 points) Solve each of the following problems without error. Show all details. Box in your answers . Use good notation, you will be marked off for bad notation. Note: The value of a limit can be a number, the symbol + ∞, the symbol −∞, or may be labeled DNE (for “does not exist”).

( 4

pts

) 1. Compute lim

x →−1

4x 2 + x x

( 3

pts

) 2. Define the function f (x) =



2x 3 − 1 x < −2

2 − x 2 x ≥ −2 . Compute lim

x →−2

f (x), show the details of your reasoning.

( 3

pts

) 3. Compute lim

x →2

1 − x

(x − 2) 2

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