University:
University of North Dakota
Course:
Math 165 | Calculus I
Academic year:

2024
Views:

85

Pages:

1
Author:

Gretchen Franco

Workshop #4 1. Compute the following limits without graphing the function: x2 + 6x + 9 x→−3 x2 + 2x − 3 3x − 1 lim 1 6x2 + x − 1 x→ 3 (a) lim (b) x3 − 2x2 + x − 2 x→2 x2 + x − 6 x −x+2 lim x−2 x→4 x−4 1 + cos x lim x→π cos x √ x− x √ lim x→9 x + x (c) lim (d) (e) (f) (g) lim 1 (3+x)2 x→0 − 1 9 x 2. Sketch a graph of a function f (x) for which the following are all true: • lim f (x) = ∞ x→−3 • lim f (x) = −1 x→0+ • lim f (x) = 2 • lim f (x) does not exist • f (−1) = −2 • lim f (x) = 0 • lim f (x) does not exist, but lim f (x) and lim f (x) do exist x→−1 x→0− x→2 x→3 x→3− x→3+