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157Final09Draft[1]

# 157Final09Draft[1] - Simon Fraser University Math 157...

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Unformatted text preview: Simon Fraser University Math 157 Summer 2009 Final Exam SAMPLE Instructor: V. Jungic Date: August 8, 2009, 15:30-18:30 Last Name: First Name: E-mail: Signature: Instructions 1. Fill in the information above. 2. Do not open the examination booklet until you are told to do so. 3. Do all your work in this test booklet. Show all your work. 4. Only scientific, non-programmable calculators with no dfferentiation and integration are allowed. 5. Please no books and no notes. 1 2 3 4 5 6 7 /9 /8 /6 /8 /6 /10 /10 8 9 10 11 12 Total /10 /6 /7 /10 /10 /100 1 Math 157 SAMPLE Final Exam 1. [9 marks] Find the following limits. (a) lim x → 4 x 2- x- 12 2 x 2- 5 x- 12 (b) lim x →∞ x 2 x 2- 1- x 3 + 1 x 4 + 1 (c) lim x → 2 √ x + 2- 2 x- 2 2 Math 157 SAMPLE Final Exam 2. [8 marks] (a) Define what it means for a function f to be continuous at a value x = c . (b) Draw the graph and list all points of discontinuity of f ( x ) = x 2 if x <- 2 2 if x =- 2 1- x if- 2 < x < 1- 1 if x ≥ 1 (c) Find lim x → 1- f ( x ) and lim x → 1 + f ( x ). Is f continuous from the right at x = 1? Is f continuous from the left at x = 1? Explain....
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157Final09Draft[1] - Simon Fraser University Math 157...

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