MATH 140 Midterm: MATH140 JOHNSON-G FALL2008 0101 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: All

Document Summary

Your solutions should read nicely and be legible. They should not be composed of regurgitated fragments of your mind scattered about the page: determine which of the following limits exist as real numbers, do not exist, or exist as. [10 pts each] (a) lim x 4 (b) lim (c) lim x 1 x2 + x 20 x2 8x + 16 x /4 ptan(x) 1 (ln(x))2 sin(cid:18) 1. By evaluating an appropriate limit, nd f (x): suppose you want to apply the bisection to approximate d, where d = 3 10. [10 pts] (a) write down a function, f (x) that has a d as an x-intercept. [5 pts] (b) for f (x) from part (a), determine an interval on which f (x) has an x-intercept. Lim x 3 /4 tan(x) = 1 means for any > 0 .