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[Notes]
Calculus I - Practice Problems
 Review Previous Chapter Next Chapter Derivatives Tangent Lines and Rates of Change Previous Section Next Section One-Sided Limits

## The Limit

1. For the function  answer each of the following questions.

(a) Evaluate the function the following values of x compute (accurate to at least 8 decimal places).

(i) 2.5              (ii) 2.1             (iii) 2.01            (iv) 2.001          (v) 2.0001

(vi) 1.5            (vii) 1.9           (viii) 1.99          (ix) 1.999          (x) 1.9999

(b) Use the information from (a) to estimate the value of .

[Solution]

2. For the function  answer each of the following questions.

(a) Evaluate the function the following values of t compute (accurate to at least 8 decimal places).

(i) -0.5              (ii) -0.9             (iii) -0.99            (iv) -0.999          (v) -0.9999

(vi) -1.5            (vii) -1.1           (viii) -1.01          (ix) -1.001          (x) -1.0001

(b) Use the information from (a) to estimate the value of .

[Solution]

3. For the function  answer each of the following questions.

(a) Evaluate the function the following values of  compute (accurate to at least 8 decimal places).  Make sure your calculator is set to radians for the computations.

(i) 0.5               (ii) 0.1              (iii) 0.01              (iv) 0.001           (v) 0.0001

(vi) -0.5            (vii) -0.1           (viii) -0.01          (ix) -0.001          (x) -0.0001

(b) Use the information from (a) to estimate the value of .

[Solution]

4. Below is the graph of .  For each of the given points determine the value of  and .  If any of the quantities do not exist clearly explain why.

(a)                       (b)                       (c)                       (d)

[Solution]

5. Below is the graph of .  For each of the given points determine the value of  and .  If any of the quantities do not exist clearly explain why.

(a)                       (b)                       (c)                       (d)

[Solution]

6. Below is the graph of .  For each of the given points determine the value of  and .  If any of the quantities do not exist clearly explain why.

(a)                       (b)                       (c)                       (d)

[Solution]

Problem Pane
 Tangent Lines and Rates of Change Previous Section Next Section One-Sided Limits Review Previous Chapter Next Chapter Derivatives

[Notes]

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