Section1_R - (3/24/08) Section 1.R Review exercises 1. A...

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Unformatted text preview: (3/24/08) Section 1.R Review exercises 1. A What is the limit of x 2 + 4 x + 6 as x 2 and why? 2. A What is the limit of 1 + x + x 2 + x 3 as x 10 and why? 3. A (a) Sketch the graph of g ( x ) = braceleftbigg x 2 for x < 1 2- x- 2 for x > 1 . Find (b) g (1), (c) lim x 1 g ( x ) and (d) lim x 2 g ( x ). (e) Solve g ( x ) = 1 for x . 4. A (a) Sketch the graph of k ( x ) = braceleftBigg 2 + x for x <- 1 1 at x =- 1 x 2 for x >- 1 . Find (b) k (- 1) and (c) lim x - 1 k ( x ). (d) At what points is y = k ( x ) continuous? 5. A Without drawing the graph, find (a) f (- 2), (b) f (- 1), (c) lim x - 1- f ( x ), (d) lim x - 1 + f ( x ), and (e) lim x - 1 f ( x ), where f ( x ) = braceleftBigg x 2- 2 for x <- 1 for x =- 1 x 5 for x >- 1 . 6. A Without drawing the graph, find (a) h (- 6), (b) h (3), (c) lim x 3- h ( x ), (d) lim x 3 + h ( x ), and (e) lim x 3 h ( x ), where h ( x ) = braceleftBigg 6 /x for x < 3 10 for x = 3 x 2- 5 for x > 3 ....
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Section1_R - (3/24/08) Section 1.R Review exercises 1. A...

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