Find the limit. lim (x, y) - (1, 98) Vx + y Discuss the continuity of the function. O continuous for x + y 2 0 O continuous everywhere O continuous for x + y > 0 continuous everywhere except (0, 0) continuous for x + y # 0

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A: The table of values is given by evaluating the given function at the given (x,y) values (Plug the…

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Q: Evaluate x dx by using the limit definition with the right end points. (Don't use the ndamental…

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Q: 2. Let f(x, y) = 20°y 2. Let f(x, y) = 4 +y² " (a) Find the limit lim(.y)→(0,0) f (x, y) along the…

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Q: 10xy lim (x, y) → (x1, Y1) 25x² – y2 Find the limit at the following points. – 10xy - lim (x, y) →…

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Q: f (x), Let f(x, y) = x-y lim or show that the limit does not exist. %3D 2/r4y7 Either find 2/x2+y2"…

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Q: h f (x h x + What is the result of limit ? lim h→0 h A: -f (x) B: f'(x) C: 2f'(x) D: E:

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) In(z) lim (х, у, 2) — (-1,…

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Q: 3. Evaluate (3x² + 1)dx by using the limit definition with the right end points. (Don't use the…

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Q: Evaluate the limit. If the limit does not exist write DNE. If the limit diverges to positive or…

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Q: 3 x3 + у? x2 + y3 Let f ( x, y) = be a function. What is the limit of f ( x , y ) at ( 0,0 ) along…

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Q: Find the indicated limit or state that it does not exist. x2y + xy2 lim (x, y)-(0, 0) x2 + y2 O 2 O…

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Q: 7xy lim Find (x,y)→(0,0) Vx2 + y? if it exists. 1. 7 2.0 3. The limit does not exist. 4. 3.5 5. 14

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Q: Quèstion 1 sin(4x² + 4y²) Find the limit lim Hint: If x=rcose and y =rsine, then (x, y)→ (0, 0) if…

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Q: lim, f(x)=5 lim f"(x) = 4 16 - what is the following limit value? f(x- 2)-x lim x- 5 O A) 6 OB) 3…

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Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: (x², x > 0 lư, x(-2, 1) f(x, y) lim f(x, y) c. (х, у) — (0,0)

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Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…

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Q: 3xy ƒ(x,y) = 4x²+2y² a b) Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y)…

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Q: 7. lim y H00 4y2 + e7y

A: As per company guidelines, I can solve only one question.

Q: 6. lim e (x, y)→(1, –1) cos(x + y) -xy

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Q: f(x, y) a b) 3xy 4x²+2y² Find the domain of f. Show that the limit = does not exist. lim (x,y) →…

A: Given  - fx,y=3xy4x2+2y2 To find the domain of the given function. Domain - Domain is the set of all…

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Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: (x, y) 5) 4x2+2y2 Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y) → (0,0)

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) ху lim (x, y)-(9, 9) x² -…

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Q: lim h(x) = 0, lim f(x) = –4, lim g(x)= – 10. xa Xa Find following limits if they exist. Enter DNE if…

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Q: Find the limit (enter 'DNE' if the limit does not exist) (2x + y)? lim (z,1) »(0,0) 4x² + y² 1)…

A: We need to find the limit of along the line y=x given lim(x,y)→(0,0)(2x+y)24x2+y2

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Q: (2 – x – x? if a 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: 2. Consider the function f(r, y): Either find the following limit, or %3D show that it does not…

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Q: 2х f(x.y) What is the limit of f when (x, y) -> (0, 0)? x° +x+y + x+

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Q: x +y Evaluate the limit or show that it does not exist. lim (x,y)→(0,0) 2/x² + v? +1-2

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Q: f(x, y) 26 + y3 does not have a limit at (0, 0) by examining the following limits. (a) Find the…

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Q: Nonexistence of limits Use the Two-Path Test to prove that the following limits do not exist.

A: Given that limx,y→0,04xy3x2+y2     (i)Put x=0 and then y=0 in fx,y we get f1=limy→040y302+y2f1=0…

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Q: 1, y 2 x* 1, у<0 0, 55. Let f(x, y) otherwise. Find each of the following limits, or explain that…

A: The given function,f(x,y)=1,y≥x41,y≤00,otherwise