1. Determine if the following limits exist. In each case prove and explain your argument. (a)...
1. Determine if the following limits exist. In each case prove and explain your argument. (c) lim x +y + y sin x siny *(0,0) XY lim x-(0,0) x4 + y2 lim x+(0,0) x2y2 + (x + y2)2
=) Determine if the following limits exist. In each case prove and explain your argument. (c) xy lim *+(1,5) x + y 4xy2 lim *-*(0,0) x2 + y2 lim x²y² *+(0,0) x4 + 3y4
1. (18 points) Determine if the following limits exist. In each case prove and explain your argument. (a) (c) lim *-(1,5) x+y 4.xy2 2+(0,0) x2 + y2 xy lim (b) x?y2 lim x-(0,0) x4 + 3y
1. (18 points) Determine if the following limits exist. In each case prove and explain your argument. (a) (0) lim ху 4xy? 2+(1,5) x+y lim **(0,0) x2 + y2 (b) x²y² lim *-*(0,0) *4 + 3y 2 (14 neinte) Find the derivative hole
2.c) 2. Show that each of the following limits does not exist : (a) lim 1 + 2y (b) lim (2 + y) (x,y)--(0,0) -y (2.) +0,0) r? + y2 (d) 6ry lim (x,y)+(0,0) 24 + y (c) lim (x,y)0,0) - 2 + y
(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)
Exercise 2: Find the limit if it exists, or show that the limit does not exist (10pts) lim (5x - xy?) ( 2.2) lim e "cos(x + y) 4 - xy lim (x,y)=(2, 1) x + 3y? lim In (1.0) 1 + y2 x + xy lim (29) 0,01 x + 2y? 5y' cos'x ( 20) x + y y sin? lim (y)-> (0,0) x + ху - у lim (y=0.0 (x - 1)2 + y2 xy lim lim (...
help me. ASAP 2. Show that the following limits do not exist 1.2. Limits and Continuity (a) lim(x,y)=(0,0) DEO (b) lim(x,y)=(0,0) 2,2*-*y2 (c) lim (2,3)+(0,0) 4x2-2y2 n(x,y)+(0,0) x2 - 3y2
please compute these two limits, or explain why they dont exist (2x - 2)y lim (x,y)+(1,0) (x - 1)2 + y2 xy2 lim (1,y)+(0,0) x2 + y2
3. Limits. The limits below do not exist. For each limit find two approach paths giving different limits Calculate the limits along each path. You may want to use Taylor series expansions to simplify the limits. sin (x) (1-cos (y) a) lim (y)(0,0 x+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 b) lim (y)(8,0) cosx + In(1+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 3. Limits. The limits below do not exist. For each limit find two approach...