Find the limit by rewriting the fraction first. xy-y-5x+5 X-1 lim (x,y)-(1,7) X#1 lim (x,y)→(1,7) x#1 xy-y-5x+5 x-1 (Simplify your answer.)

Q: Vx- 3 - 3 6. Find lim x→12 X-12 %3D

A: Given limit is  Firstly, we will multiply both numerator and denominator by sqrt(x-3)+3

Q: lim2

A: Explained below

Q: x + 2 lim (x + 3) -2 b. x + 2

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Q: b. Find lim (xv (xVx²+1-x²)

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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Q: e 3x (d) lim X→0 5x+200

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Q: If g(x) = 시일이었 2 +6 find lim q(x). x→0+

A:

Q: x - 7x+ 10 Find lim as х3 -5x? b. х>5* d. x→5 а. х>0* с. х>5

A: We need to find the expression of the limit for the given conditions. Here,

Q: x²+x-2 1. lim X-o 4x-1

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Q: poge( a). liun +3x=12X+4 x4X

A: The value of the limit is, (3/2) The detailed solution is as follows below:

Q: x* – 5x² lim x2

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Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

Q: (2x- 1)1/2 – 3 Lim X-5

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Q: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: (-x² – 6x–10 xs-2 1. lim g(x), where g(x)={ x>-2

A:

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: Find the limits by rewriting the fractions first.

A: Given  lim(x,y)→(2,-4)y+4x2y-xy+4x2-4x

Q: lim (2x-5x) is x--2

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Q: V5x+4-3 3) lim X-1 x-1

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Q: Find lim 2-0 -x-1 x²

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Q: f(7 + h) – f(7) Find lim if f(x) = - 8x – 7. h h→0 f(7 + h) – f(7) lim (Simplify your answer.) h h→0

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Q: d) (x+27) -3 X lim-

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Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: 20x2 – 3x Calculate lim x→0 ° 3x5 – 4x2 +5

A: It is given that, limx→∞20x2-3x3x5-4x2+5.

Q: 1. Find the area bounded by y2 = 4a(y – x), y² = 2a(x + 2y – 3a) and the x-axis.

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Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: x2-2x4メ4x Lim (X-1)²+ y2 2 2 .

A: Solve using  properties of the limits