MAT 131 Midterm: MAT131 SBU Fall 08 Midterm 1 RS
Document Summary
More practice problems are in the textbook as well as on the practice midterm. In each of the following cases, determine whether the limit exists as a nite number, and say its value if it is de ned. If the limit does not exist as a nite number, determine whether the limit is positive or negative in nity. If the limit does not exist as a nite number or as positive/negative in nity, explain why. (a) lim x 0. Solution to (a) f (x), where f (x) =! X, x 0 x > 0 lim x 0+ f (x) = lim x 0 f (x) = lim x 0 f (x) = 0 . (b) 1 = lim x lim x x + sin(x) x x 1 x lim x x + sin(x) x. Solution to (c) lim x x + sin(x) x.