1. Consider the function f(x, y) = 2y (a) Show that lim (x,y)→(0,0) f (x, y) does not exist by using different paths toward the origin. Provide a diagram to illustrate the paths that you have chosen. (b) Show that lim (x,y)→(0,0) f (x, y) does not exist by using e - 8 definition.

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A: Given

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A: See the attachment

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Q: TX-1 t. Lim ×つ○ 1

A: limx→0 πx-12x2    +πx(e2πx-1)=limx→0 πe2πxx-πx-e2πx+1+2πx2x2 (e2πx-1)   limx→0 πx-12x2…

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A: Given that:                limy→π2-(tan y)π2-y

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A: Given- For a certain function fx,y it is given that limt→0ft,0=0 and limt→0ft,3t=0  To Check- If the…

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Q: Consider the function f (x, y) : 2y Show that lim (x,y)→(0,0) f (x, y) does not exist by ɛ – 8…

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Q: 15) Annual U.S. imports from a certain country in the years 1996 through 2005 could be approximated…

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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A: We have to estimate the limit numerically if it exists.  a) limx→0(x-3) b) limx→0(x-1)

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A: If two different path have two different limit then limit does not exist . Now find the limit along…

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Q: 1) Show that the limit doesn't exists : 3x2 Jy 2). lim (x,y)→(0,0) x2 +y²

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Q: 1. Calculate the limit numerically. lim(x + 11) x→2

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Q: Зу Let flx,y) = , find the lim(xy)¬(-1,1)( Зу %3D x+y' ) along the curve y=x² .

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Q: Suppose that g (x) = f (x) sec x,where f(0) = 8 and f' (0) = -3. Then %3D %3D f (h) sec h– f (0) g'…

A: False

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A: Topic:- limits

Q: 2. Evaluate the limits numerically. x-1 a) lim x-1 vx+3-2 x² +3x+2 b) lim x--1 x2-x-2 cos(x)-1 c)…

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Q: Calculate the limiting value for 1 cos(x*) – 1+5x³ lim x→0 х16

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