test1_1501_Fall2012.pdf

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Department
Mathematics
Course
MATH 1501
Professor
Liu
Semester
Fall

Description
Math 1501 K1-4 L1-4 Test 1 Total: 20 points Section: Name: Student Number: For problems (1.1)-(1.10), fill in the blanks. ( If the result doesn’t exist, fill in D.N.E.) (1.1) Let f(x) =x+1. f−1 (x) = ( ). x−1 (1 point). (1.2)   sin(1.2x)/x, x < 0, f(x) = 1.2π, x = 0,  2 2x + 1.2π, x > 0. limx→0 f(x) = ( ). (1 point). (1.3) 1 x→−4(x + 4)sin(x + 4) = ( ). (1 point). (1.4) tan (2x) lim = ( ). x→0 xsinx (1 point). (1.5) 1 g(x) = (1 + 2x + )(x − 1), x2 1 ′ g (1) = ( ). (1 point). (1.6) 3 ax + b f(x) = x + x + c , a,b,c constant. f (0) = ( ). (2 points). (1.7) (2x h(x) + 1)(2 + x[h(x)] ) f(x) = 2 , 2 + 2[h(x)] ′ ′ h(0) = 1, h (0) = 1
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