Evaluate the indicated limit or explain why it does not exists: lim (p) (0,0) 2x + y² x²(y-1)² lim (z,y)-(0,1) x² + (y-1)²

Q: ry Let f(r, y) and let L = lim(z.1) >(0,0) f(x, y). Which of the following statements is correct?…

A: Third option is correct.

Q: 3) lim (x² + y²)' 1.

A: Given: limx→0y→0x2+y2x

Q: Let an >0 and ) an < o. For each of the following, either prove that the given series converges, or…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: sin(xy) lim (x,y)-(0,0) x²+y² x²+(y-1)²-x³ lim (x,y)¬(0,1) x²+(y-1)²

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Q: (x+2y)² Calculate the limit or show that it does not exist: lim |(x, y)|| (x, y)→(0, 0)

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Q: Evaluate the indicated limit or explain why it does not exists: x²y² lim (z,y) (0,0) 2x4+y¹

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Q: Find the limit. lim (x, y) -(1,-1) x=-y 0 1 1 No limit 5x²+10xy+5y2 x+y

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Q: Show that the limit does not exist: (x - 1)(y-2)² lim (x,y)→(1,2) (x − 1)² + 5(y − 2)4* -

A: Given, lim(x, y)→(1, 2)(x-1)(y-2)2(x-1)2+5(y-2)4

Q: 1-If č=ÅxỂ where Ã= 3L- 4J and B= -21 + 3k what is C? 2- Find the scalar nroduct i E of the two

A: Note: " Since you have posted multiple question. As per our guidelines we are supposed to solve one…

Q: (z^ + zx^)uj b) Find the limit lim (x,y)-(0,0) x² +y2 In

A: (b)…

Q: 24 – 4y? (z,v) >(0,0) x² + 2y² Does the limit lim exist? Explain your answer.

A:

Q: lim g (y) where, g (y) = = y² +5 3-3y lim 9 (y) y² +5 ify < -2 -9 lim g(y) 3-3y if y≥-2 y-2 ify <-2…

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Q: Investigate whether the limit exists lim (r,y)→(0,0) x²y² + (x – y)²

A: Given :                           lim(x,y)→(0,0) x2y2x2y2+(x-y)2  To find :…

Q: 1. Evaluate the following limits: 2²+y? (a) lim(,y)→(1,–1) 2ry (b) lim(z,y)→(2,1) 3r+3y2 (c)…

A: According to our guidelines we can only answer 1 question or 3 subparts only, rest you can repost

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: Compute the following limits or show they do not exist: x³ + 2y lim (x,y) →(0,0) x² + y² (a.) (b)…

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Q: 1.a) Find the limit: lim 2eti + 6e-tj-4e-2tk t→ln2 (simplify, exact value) b) Find the limit: lim…

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Q: (a) (b) 2x²y x + y² x² + 6xy+8y² lim (x,y) →(1,1) 2x² +5y² - x lim (x,y)→(3,2)

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Q: lim g (y) where, g (y) = Jy²+5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 ify <-2 if…

A: Given :limx→-2gy where gy=y2+5if y &lt;-23-3yif y≥-2

Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

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Q: Find the indicated limit by using the limits lim f(x, y) = 5 and lim g(x, y) = -4. (x, y) - (a, b)…

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Q: と (てメy+メニ)dy=o y)s1 (メ+ y) da +

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Q: a) Find the domain of f. b) Find lim (x,y) →(0,0) f(x, y) = rye 5x10+26y f(x, y) or show that it…

A: Given function f(x,y)=xyex5x10+26y9 We have to solve the following questions.... 1. We have to find…

Q: = lim g (y) where, g (y): +-2 y²+5 3-3y lim g(y) y² +5 ify < -2 -9 lim g(y) 3-3y if y ≥-2 ify <-2 if…

A: Part (1):-  Given function is gy = y2+5    if y&lt;-23-3y   if y≥-2

Q: lim g (y) where, g (y) = y² +5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 if y<-2 if…

A: Follow the procedure given below.