1. Evaluate each of the following limits: (4 pts ea) b) lim 2- a) lim VF-1...
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-?
4. (10 pts) Evaluate the following limits: (a) lim h0 16+h - 4 h (b) limusin 10
1. (10 pts) Evaluate limits. Apply L'Hopital's Rule when needed. (Inx) a. lim b. lim 1/(1-2) 20+
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
3. (5 pts. each) Evaluate the following limits if they exist. If the limit does not exist, then use the Two-Path Test to show that it does not exist. 5x²y (a) lim (x,y)=(0,0) **+3y2 (b) lim (x,y)-(1,-1) 1+xyz
1. (8) Evaluate the following limits: (a) lim«;? () lim (6:1)".
2. [4 marks each] Evaluate each of the following limits, if possible. Provide an appropriate analytic argument to determine the value or to show that the limit does not exist. (a) lim +3x+2 x2-x-2 X-1
(4) Evaluate each of the following limits or show that the limit does not exist: (a lim 2014 – 2y4 (3,4) (0,0) 22 - y2 lim 1 + 2y (x,y) (0,0) = -2y (b)
2. Evaluate the following limits. a) lim Vr+6-2 23 23 – 3.22 b) lim th h c) lim 3(2-2) cos(3) 22 +62 +9 h0 100
Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X = c) lim X+0 4x2-3r d) lim a "270 3x - 3xcos(2x) 2x2 sin(3x)