Exam 1 Questions with Solutions - Analytic Geometry and Calculus I | MATH 170, Exams of Analytical Geometry and Calculus

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e ave Sac “ON ox, Rye : Key Math 170 Exam 1 Feb 3, 2005 Name This exam is worth 100 points. Please show all of your work and explain thoroughly where necessary. Remember, when in doubt, try something; you never know what will cause a light bulb to be turned on. Plus, I always give partial credit; so leaving a problem blank is never a good idea. Good luck! 1) (18 points) Find the following iimits. Nuntee)= 4 "44 Se =] He | B) lim=—*" linn X43 2 aFS = x2 _- Cc) hin EAS . vir ot) > las it not = a > h — hes h Ee we + 5 vy Fy Van Wh ri) hoo hbiia ed = ran wt. ng oo Nan rl 4 2) (9 points) State the three conditions needed for a function f(x) to be continuous at wee f is 1. Lim find Bots x ~Pe~ 2. Fe es} de fvreel 34 Prey Pex) 2 { «) X Pe 3) (4 points) Please answer true or false. m A. If f(x) is continuous on its domain then it is differentiable on ils domain. T we) B.If f(x) is differentiable on its domain then it is continuous on its domain, &y F C. A rational function is continuous for all real numbers. TH D. A wig function (like sine and cosine) is always continuous on its domain. ay KF