2. The value of lim is (z.v)-(0,0) Vr² + y? (b) 1 a) 0 (c) 2 (d) does not exist

Q: Find the limit: 5x - 5y | lim (*,y) (5,5) y?

A:

Q: Prove that lim 12 √16x +9y¹2 2 6 4x² +3y does not exist by showing that the limits along different…

A: We have to prove that  limx, y→0, 0 16x4+9y124x2+3y6 does not exist.

Q: xY Let f(x, y) and let L = lim(z,9)→(0,0) f(x, y). Which of the following 4x2 + 3y2 statements is…

A:

Q: Show lim (x,y) (0,1) In (x²+2y²-1) e2x² + y²-2

A: What is Limit of a Function: The limit of a function in mathematics is a key idea in calculus and…

Q: Consider the function f defined by 1²+y² V12+y?+1-1 ,2 f(r, y) = %3D lim(7.y)¬(0,0) f(x, y) =

A:

Q: 3 x°+2y +x`y lim (x ,y ) → (0 ,0) x`+4y + 2x°y

A: The limit exists only if the value of the limit along every direction that leads to (0,0) os same...

Q: Find the limit lim (x,y) →(0,0) 5x² + 5y² √x² + y² +16 Submit Question 4) Jump to Answer

A:

Q: 8. Use the alternate form of the denivative: lim f(x)-flc) to show that f(x) = | x + al %3D X→し is…

A:

Q: Calculate lim r(t), where r(t) = (r², 1 – 1,171).

A: rt=t2, 1-t, t-1

Q: (b) lim (z.y)→(0,0) Vr4 + y3 +1–1

A: limit of the rational function

Q: 5X-T 8. lim -y% = - y-n x+5 a) 0 (b) DNE (c) -n (d) None of these

A: Here y is approaching to π .

Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

A:

Q: lim (x,y)→(4,3) √x - √y+1 x - y - 1

A:

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

A:

Q: 十、ロ-29 lim (エ)→ (4,16) エーVリ

A: Given;  Lim(x,y)-(4,16) (x2+x√y -2y)/(x-√y).

Q: Evaluate the limit 7(y² – 1) - lim 3y²(y – 1)3 y→2

A:

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: O Find lim (X,Y)→ LD,0) **+3y* or show it DNE.

A:

Q: Let f(x, y) = (x2)/(x4+y). Show that Lim (x,y)→(0,0)f(x, y) does not exist.Hint: Consider y = kx2…

A: The given function is

Q: 22. On what value of x is f(x) = x2+3x-10 has %3D x-2 removable discontinuity? A) 5 B) -5 C) 2 D) -2…

A:

Q: Suppose that limf(x)=4 and limg(x)=3 then %3D x-3 а) 21 b) 3 c) 7 a O b

A: limx→3f(x)=4 and limx→3g(x)=3, then we have to find the value of limx→3f(x)2+2gx-13=?

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

A:

Q: xY Let f(x, y) : and let L = lim(z,y)→(0,0) f(x, y). Which of the following 3x2 + 8y2 statements is…

A:

Q: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: P) Find T(X) X→-1 f(x) -2 A) -1 C) 0 B) Does not exist D) -2 21

A:

Q: 2) Find lim f(x). X→1 f(x> X 2. 2.

A: here      limx→1- f(x)=1    and            limx→1+ f(x)=2 here                            limx→1-…

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: Evaluate the limit lim 6 (²1) y→2_8y²(y − 1)³

A: To evaluate the following limit. limy→2 6y2-18y2y-13

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: Find the limit: 3x4 - 3¹ 3y4 lim (x,y) → (3,3) x² - y² ||

A: Find the limit

Q: Evaluate X - 4y - lim (x,y)→(0,0) 6y +7x

A:

Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We…