Section 2.3 1. Fill in the limits for the graph g(x) below. (a) lim f(x) =_ 1- 4 20 - - 4- (e) lim f(x) = 2 20 -+ 2 - (b) lim f(x) = _ 4 20 - - 4 + (f ) lim f(x) = 2 x -+ 2+ -6 (c) lim f(x) = -+ 20 - - 4 (g) lim f (x) = 2 (d) f(-4) =_- 4 -3L (h) f(2) = & Section 2.4 2. Suppose that lim f(x) = 7 and lim g(x) = 5. (a) Evaluate lim (f(x) + 9(x)) ( 7 + 5 ) lim 12 *- V 3 X-73 (b) Evaluate lim f(2) lim 2 -> 3 9 (20 ) x- 13 UTN (c) Evaluate lim (xf(x)) 3. Find the limit algebraically, if it exists. x + 2 lim 20->-2 202 - 4x - 12 - 2+2 (-2) - 4( - ) - 12 O - ONE - lim O Section 2.5 X-1 - 2 4+8-12 4. Find the vertical asymptotes and horizontal asymptotes (end behavior) of f (20 ) = 2x+1 6x2+11x+4 Math 130: Calculus I Page 15. Let f(20) = (2x+5)2 3+x (a) Determine the limit lim f(x) x - -3 (b) Give the equation of any vertical asymptotes