Practice Quiz 1d solutions

# Practice Quiz 1d solutions - Solutions to Practice Quiz ID...

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Solutions to Practice Quiz ID Problem I: a) δ = ε 2 will do the job. b) The frst is true, the second is False, take a = - 2 and b = 1. c) x > 1 and x < - 1. d) ( x ) = 5 x - 8 e) ( x ) = x/ 3 + 4 / 3 Problem II: a) 3 / 2. b) Note that sin(2 x ) = - sin(2( x - π/ 2)) and hence the limit is - 2. c) Does not exist.Numerator tends to 1 and denominator tends to 0. d) 0 e) Note that cos( x ) = - sin( x - π/ 2). Hence the limit is - 1. Problem III: a) - 3 / 2 < x < 3 / 2 b) g ( h ) = | h | 1 - h 2 ( 1 - h 2 + 1) c) There are a number oF reasonable solutions, one oF them is: δ = min(1 / 2 , (1 + 1 / 2) ε ) since g ( h ) 1 / 2 (1 / 2)(1 / 2 + 1) For | h | ≤ 1 / 2. Problem IV: Set P ( n ) = - 1 + 2 2 - 3 2 + ··· + ( - 1) n

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## This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Tech.

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Practice Quiz 1d solutions - Solutions to Practice Quiz ID...

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