MATH113 Midterm: MATH113 Midterm V3 2011 Fall
Document Summary
Instructions: books, notes or calculators are not permitted, show all your work, make sure your examination paper has 5 questions. Name: (20 points) (a) find the domain of f if f (x) = 8 x x2 4 (b) let g(x) = e2x+1f (x2). Find g(cid:48)(2) if f (4) = 2, f(cid:48)(4) = 3 . 1 + x (d) find horizontal and vertical asymptotes of f (x) = Name: (20 points) evaluate the limit or explain why the limit does not exist: (a) (b) lim x 0 tan(2x) sin(3x) lim x ( x2 + x + x) Name: (20 points) (a) find all possible values of a and b so that the function. X + 2b, x < 1 bx2 a, 1 x 2. 4x + 1, x > 2 f (x) = is continuous at every x. Justify your answer. (b) di erentiate: f (x) = cos(sin(sin(x2))).
