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 x-axis. (b) Find the limit lim(,y)→(0,0) f (x, y) along the y-axis. (c) Find the limit lim(y)-(0,0) f(x, y) along the parabola y = (d) Does the limit lim,y)(0,0) f(x, y) exist? Justify your answer. 2.x2. %3D

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…

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Q: 2. Let h(x) = (tan z)". (a) Find the limit lim h(z).

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A: Given: limt→0+cost, cost, t5lnt

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A: We show that limit does not exist.

Q: lim Z-y)-(0,0) z4+y?

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Q: Compute the following limit along lines of the form y = mx, for m 0, and along the parabola y= x.…

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A: Solution :-

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Q: Find the limit, if it exists, or type DNE if it does not exist. (x + 18y)2 А. lim DNE (x,4)→(0,0) x²…

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A: Given I(t) = t2+3.5t+48    (1 ≤ t ≤ 9)E(t) = 0.5t2−1.4t+13    (0 ≤ t ≤ 10)

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Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

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Q: Find the limit. Enter DNE if the limit does not exist. lim (2,y) + (0,0) x² + 14y2

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Q: xy Let f(x, y) and let L = lim(z,3)→(0,0) f(x, y). Which of the following statements is correct? 6x2…

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Q: Compute the following limit along lines of the form y = mx, for m 0, and along the parabola y = x.…

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Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

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A: Given the limits function

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Q: Please

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Q: Show that the limit lim (r.y)(0,0) In(1 – a²) + yª r² + y does not exist.

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Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

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A: Given:-             Let f(x,y,z)=x2+4y2+2z2. Does the limit lim_(0,0,0)f(x,y,z) exist? If so, use…

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A: