MAT 131 Midterm: MAT131 SBU Fall 08 Midterm 1 R
31 Jan 2019
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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. lim x 0 (a) (b) (c) (d) (e) (f ) (g) (i) (j) f (x), where f (x) =! X, x 0 x > 0 x + sin(x) lim x x. X2 x lim x 0 lim x 2 x3 2x2 4x + 8 x2 4 ln((5 + e x)1/x) lim x ( 9x2 + 6x + 3x) lim x lim x 2. |x 2| x 2 lim x 1 x2 4x + 3 x2 1 lim x 0 cos x x.
