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M408C - HW 3

# M408C - HW 3 - b lim Problems x1 x 1 x 11 13 17 31 35 41 1...

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P ROBLEMS H W 3 S AMPLE : QUIZ 2 lim x →− 1 x 2 + x | x + 1 | lim x 2 | x 2 | x 2 + 2 x 8 lim x 2 x 2 2 x | 2 x | Dr. K’s Exam 1 1) Use algebraic techniques to find the limits: a ) lim x 0 1 1 x   1 1 x + 1 b ) lim x 2 | 2 x | 4 x 2 c ) lim x →− 1 x 2 + 3 x + 2 x 3 + x 2 x 1 2)(60 points) Differentiate and Simplify: a ) ( x + 1) x 1 3 b ) x 1 x c ) ( x 2 + 1)( x 2 2) d ) x 3 x 2 + 1 e ) x 1 3 ( x + 1) f ) x 2
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