6. Calculate the following limits or determine they don't eadst. (a) (2 points) lim (x,x)=(0,0) +...
1. Compute the following limits. 9x4 - 4y4 (a) lim lim (x,y)–(0,0) 3x2 + 2y2
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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
Determine the following limits (if they exist) - (3 points ca 4. lim *-|-x+ 4x4] 14+2 --- 5. lim √5 - x-5 √x-5 6. lim-7x-12
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
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
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
Can you help with 4 and 6.
4. lim (x,y)-(0,0) x + x² + y + yx x + y 5. x² + y10 lim (x,y)=(0,0) x2 + xy + y 10 6. sin(x) + (y + 2)2 lim (x,y)--(0,0) X + 1
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
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211
5. (8 points each) Find the limits: V3x2-6 (a) lim X-00 2x -9X (b) lim x=0x2-sinx COS X (c) lim x X- 2 2