Math 109 Practice Final #1 Solutions PDF

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UNIVERSITY OF VICTORIA MATH 109 PRACTICE FINAL # FALL 2020Duration:3hoursThis is meant to beoneof your resources for practicing problems for the final exam. You should also be studying previous midterms, weekly quizzes, tutorial worksheets, class notes and textbook problems. MML is an excellent reso...

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UNIVERSITY OF VICTORIA MATH 109 PRACTICE FINAL #1 FALL 2020

Duration: 3 hours

This is meant to be one of your resources for practicing problems for the final exam. You should also be studying previous midterms, weekly quizzes, tutorial worksheets, class notes and textbook problems. MML is an excellent resource with lots of extra practice problems.

You should be able to complete this final in no more than 3 hours. If you find certain topics particularly challenging, I recommend using the MML study guide to help you practice more similar types of problems.

Practice Final Examination #1

Introduction to Calculus [MATH 109] Page 1

1. Evaluate the limit of the following functions. x2 − 3x + 4 x!5 4−x

(a) lim

3x + 2x2 + 7 x!1 −8 − 2x − 5x2

(b) lim

2. Consider the function y = g(x) graphed below. 5 4 3 2 1 y = g(x) −5 −4 −3 −2 −1 −1

1

2

−2 −3 −4 −5 (a) Identify for which value(s) of x the limit does not exist.

3

4

5

(b) Identify for which value(s) of x the derivative does not exist.

Practice Final Examination #1

Introduction to Calculus [MATH 109] Page 2

3. Determine if f (x) is continuous, if it is not then determine at what value(s) it is not continuous. (√ x−3 x≥ 1 f (x) = 6x x...