Consider the limit Select the correct answer: The limit exists The limit does not exist lim (z,y,z) (0,0,0) 222 +24.

Q: Find the limit. lim (t i – 6 j + r² k) lim (1 i- 6 j+? k) = i i+ i j+

A:

Q: Evaluate the limit, if it exists. t2 -9 a) lim;→-3 2t2+7t+3

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: Let f(x) 3x2+6. Evaluate lim h→0 f(4+h)-f(4) h

A: Solution ⇒     f(x)=3x2+6    and we have to perform  limh→0f(4+h)−f(4)h    Now put…

Q: Find the limit. 2x²+6y² +4 lim (x, y) -(0,0) 2x2 - 62 +7 01 O -1 No limit

A: The answer is in step2.

Q: 2x4-3y4 lim (x,y) (0,0) x4 +y4 b) x³y³-1 lim (x,y)-(1,1) xy-1

A:

Q: ■ Find the limit.

A: The given expression is limt→∞t-tt2t32+3t-5

Q: Find the limit. Enter DNE if the limit does not exist. z²y lim (z.) +(0,0) x² + 7y²

A: Given that the limit limx,y→0,0x2yx2+7y2   .

Q: Calculate the limit and show proof. lim (1,1)(0,0) r2 + y?

A:

Q: 2 — х lim (x,y)→(2,–1) x³y³ – 2x²y³ 2.x2y3 .22,3

A:

Q: 2) Find lim f(x) and lim f(x). X→ 0- X→ 0+ 16+ 150 4324A 4- 131 2+ 3+ 44 15+ 56 6- X

A: we  will find the required.

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √y+3 lim (x,y)→(9,6) x-y-3 x+y+3

A: