MTH 207 Midterm: MTH 207 Midterm 2004
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No aids are allowed, including no calculators and no formula sheets. Marks for each question are indicated by [ ]. Give full justi cation for your answers; the correct answer alone may be worth nothing. [16] (1) (a) de ne the function f (x): Find the domain of f (x): f (x) = Find the inverse function f 1 of f : 1 (b) let 0 < x < . Nd cos y. sin2 x + cos2 y = 1, (c) evaluate cot(cos 1( 1) + tan 1( 1)). If a limit does not exist, explain why. (a) limx 0+ tan 1( x (b) limx 2(x + 1)|x + 2| x + 2 (c) limx . X2 + 8 3 x + 1. [8] (3) find all asymptotes (vertical and horizontal) of the curve y = x3 + 1 x3 + x. Explain your reasoning. lim x 0 x6 cos(1/x2) = 0.