MTH 240 Midterm: MTH240 W2007 Midterm 1
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Instructions: have your student card available on your desk. Notes, calculators and other aids are not permitted. Unjusti ed answers will be given little or no credit. Cross out or erase all rough work not relevant to your solution: present your solutions neatly and legibly in the space provided. Messy or illegible solutions will receive no credit: if you need more space, use the back of the page. Indicate this fact on the original page, making sure that your solution cannot be confused with any rough work which may be there. 2: determine if the improper integrals below are convergent or divergent. If divergent, justify your answer; if convergent, calculate the value of the integral. (a) 3: calculate the limits and justify your answer, where a and b are positive constants. (a) (b) (c) lim x 1 ln x sin x x sin x x3 lim x 0 x (cid:18)1 + lim a x(cid:19)bx.