MATH 151 Midterm: MATH151 MATH151-MT1-b

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 151
• Professor: All

Document Summary

Page 1 of 5: compute the following limits. [2] (b) lim x x 3 x2 9. X + 5 3 x 4. [3] (d) use the squeeze theorem to calculate. Page 2 of 5 lim x 0 x2 sin(cid:18) 1 x2(cid:19) : short answer. [1] (a) a function f has a vertical asymptote at x = a if. [1] (b) suppose lim x a f (x) = l and lim x a g(x) = m . then lim x a (3f (x) 2g(x)) = [1] (c) give an example which is not one-to-one for 4 x 0 f (x) = [1] (d) give an example of a function with a horizontal asymptote at y = 1. f (x) = [1] (e) give an example of a function f de ned on all r but where lim x 2 f (x) 6= lim x 2+ f (x). f (x) = [3: (a) use the intermediate value theorem to show that.