C-1-Ex1-F07 - MATH 1431 EXAM 1 REVIEW I. LIMITS Algebraic...

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Unformatted text preview: MATH 1431 EXAM 1 REVIEW I. LIMITS Algebraic expressions 1. lim x - 1 x 3- 2 x 2 + 2 x 2 + 8 2. lim x 2 x 2- 4 x + 4 x 2 + 2 x- 8 3. lim x 2 x 3- 8 x- 2 4. lim x 2 + x- 2 x 2- 4 Trigonometric expressions 5. lim x / 4 sin 2 x cos( x + 3 / 4) 6. lim x 3 x tan 2 x 7. lim x x 2- 2 x sin 3 x 8. lim x sin 2 2 x 4 x 2 Piecewise defined functions Set f ( x ) = 2 x 2 + 3 , x 2- 2 x, x > . 9. lim x 1 f ( x ) 10. lim x - 4 f ( x ) 11. lim x f ( x ) Continuity 1. Set f ( x ) = 2 x 2- 1 , x < 2 A, x = 2 x 3 + 2 Bx, x > 2 . Find A and B so that f will be continuous at x = 2. 2. Set f ( x ) = x 2- 2 x- 3 x 3- 9 x . (a) Determine the intervals on which f is continuous. (b) What is lim x - 3 + f ( x )? (c) What is lim x 3 f ( x )? 3. Set f ( x ) = 2 x- 1- 3 x- 5 . Define f at x = 5 so that f is continuous at 5....
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This note was uploaded on 11/27/2008 for the course MATH 1431 taught by Professor Any during the Spring '08 term at University of Houston.

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C-1-Ex1-F07 - MATH 1431 EXAM 1 REVIEW I. LIMITS Algebraic...

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