3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 2x4 + 5x + 4x +7 lim X + 1 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 2x + 5x +4% +7 lim lim X + 1 Evaluate the limit. lim 2x + 5x + 4x + 7 X+ 1 -(Type an exact answer.)
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
-4x+1 1) (15 pts) Evaluate lim X-V1672+5
Evaluate lim,-_-4+ g(x). 1 1 for -5< x < -4 X + 1 g(x) = 22 for X > -4 1 16 The limit does not exist. 1 3 -4
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
Evaluate x – 6 2x2 lim *-2 x2 х -2 A. 7 minim C. 2 D. E. Does not exist
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Given f (x) = 4x + 3 and g(x) = 2x2 + 5, find (gof)(x)and the domain of go f. UTAL Cditor
Evaluate the following limit using Taylor series. 3 lim 2x2 zle x2 1 X>00