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practice-mid1

# practice-mid1 - Practic Midterm 1 You will nd below some...

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Practic Midterm 1 You will find below some questions that are representative of the material we have covered in Chapter 2. These questions are not comprehensive, though. You are responsible for everything in Chapter 1 and 2 (although there won’t be any questions that directly cover Chapter 1). This exam is longer than an actual 50minute midterm. If you are timing yourself, a reasonable exam may consist of problems 1,2,4,6,8,9. Another exam may consist of 3,4,5,6,7,8,10. 1 Find the points of discontinuity for the function f ( x ) = 16 - x 2 1 - cos x 2 Find the following limits: lim x 2 2 3( x - 2) 2 lim t 1 t - 1 4 t - 2 lim t →∞ t - 1 4 t - 2 3 Find the following limits or explain why they do not exist. (a) lim x →∞ e x + e - x e - x - e x (b) lim x a x 2 - a 2 x 4 - a 4 (c) lim x 4 + x - 4 | x - 4 | (d) lim x →∞ x 2 - 7 x x + 3 4 If f is continuous on [ - 1 , 1], f ( - 1) = 4, and f (1) = 3, show there exists some c such that f ( c ) = π . What Theorem did you use to show this?

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practice-mid1 - Practic Midterm 1 You will nd below some...

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