I. 1. 2. 3. 4. s. 6. 7. 8. 9. (30%) True and False __dx []l- - -2 If fis continuous then d f(t)dt 2+-5 6x2 lim lim 27 3X dx = f(x). If f(x) is continuous on a closed interval I , and f(a) and f(b) have opposite signs where a and b are in l, then there exists a value c in [a,b] such that f (c) =O. There are only 2 types of asymptotes: horizontal, and vertical asymptotes. Since f(x)=l/x is continuous on (O, 1), it it integrable on [O, 11 lim xx=l. xlis not integrable in [-1, 11 because the function f is not differentiable at x=O. If f(x) g(x) for every x in [a,b], then Jab f (x) dx < Jab g(x)dx, unless f(x)=g(x) for all x.