lim f(x): = lim f(x) = LE R. Let f = C(-∞, +∞), and x-x Prove: f(x) is bounded in R. 8+←8

Sketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 4, lim x+3+ x→3 f(x) : = 2, lim, f(x) = 2, f(3) = 3, f(–2) = 1 x→-2 البارب برای -6 -6 -4 -4 -2 -2 5 4 3 y 4 2 1 -1 2 2 4 4 6 x -6 -4 -2 5 4 3 1 2 4 6 X -6 -4 ● -2 I y 5 4 3 1 ....لي 2 4 6 x

Characterize the discontinuity for F(X)

Let f(x) = x³ 3x² - 1. - What is the limit as x approaches infinity? Limit is: What is the limit as x approaches negative infinity? Limit is: