x4 - y4 25. lim (x,y)→(0,0) x ² + y2

Q: + xy² + y³ x2 + 7y² 2x3 b) lim (x,y)→(0,0)

A:

Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

A:

Q: lim (1.)(0,0) r +y – a²y²"

A:

Q: -x+y lim (х,у)--(1,-3) (2x + y)e¬*+y

A: Given, limx,y→1,-32x+ye-x+y To solve the above limit.

Q: 2x – x y- 3y² a. Evaluate lim, (x,y)→(-1,1) x+y

A:

Q: lim r.y)→(0,0) (4 + (x² + y²) In(x² + y?)) Dose not exist -00 00 1 4-

A:

Q: 2 - Jx - 3 – v 4) lím エ→7 x² – 49

A: Given: ⇒limx→72-x-3x2-49

Q: V4 + x – 2 lim x→0

A: To evaluate the given limit

Q: x+y=4 lim x, y)→(2, 2) √√x + y − 2 x+y+4

A: To find:-

Q: Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

A: Given :                     lim(x,y)→(0,0) xy4x2+y8 We know that if the limit exists, all paths…

Q: 2x*y lim (x,y)→(0,0) x8 + 6y²

A:

Q: 16. lim x¹/ x→0+

A:

Q: (x²y3 - 5y2) lim (x, y) →(4, 2)

A: Given that, There is an expression of limit is following, lim(x, y)→(4, 2)(x2y3-5y2) We have to find…

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: lim (x.y) (0,0) r + yt

A:

Q: lim (4 + (x + y} ) In(x² + y)) (х.у) - (0,0)

A:

Q: [f(x,y)] 4- lim (x,y)→(a,b) Lg(x,y)]

A: Please see the answer in step 2

Q: 3 - x .lim x4- x2- 2x-8

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (A) f(x) = √√√x + 2x (B) f(x) = √√√x – 2x² (C) f(x) = 2x² + √x (D) f(x) = 2x − √√x

A:

Q: lim (z,y) (1,1) 2x – ry – y 22 – y?

A:

Q: lim (x,y)-(2,4) x² +x/F-2y x-Vy %3D ||

A: Solve the limit

Q: lim (x - 2x + 4x + 8) x→-2

A:

Q: If G(x) = limx→0 2f" (x-3h)-2f" (x+3h) and f(x) = Then G' (1) = 2x Select one: O 72 O -6 O 2 O -2 O…

A: Answer

Q: 40 Find x² + 1 lim tan (x, y)→ (0,1) x²+ (y – 1)² ] |

A:

Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

A:

Q: 16x4+9y12 (x,y)→(0,0) 4x²+3y6 Show that lim does not exist.

A:

Q: e3x + 5e* (с) lim x→0 7e3x – Te™

A: We have to evaluate the given limit.