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Math 2250 HW #3 Due 12:30 PM Thursday, August 29 Reading: Hass §2.5–2.6 Problems: Do the assignment “HW3” on WebWork. If you happen to have a different edition of the textbook, the plots on page 95 that problems 1 and 2 refer to are: In addition, write up solutions to the following problems and hand in your solutions in class on Thursday. 1. For which values of d is the function ( d2 x − 2d h(x) = 12 if x ≥ 2 if x < 2 continuous at every number x? 2. Give an example of two functions f (x) and g(x) so that both f (x) and g(x) are discontinuous at x = 0, but the product f (x) · g(x) is actually continuous at x = 0. 3. Evaluate the limit 3x3 − 12x2 − 1 . x→∞ 9x3 + 2x + 13 lim 1