x' +3x² +3x+1 (i) Find lim x→1 2x° +3x² – 1

Q: # 3) lim (2x - 4x2 - 5x+6) X→-3

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Q: 10х? + 11ху + y .2 lim +,9) ->(-1,10) 10х2 — 39ху — 4у2

A: Introduction: If a function f(x,y) of two variables x and y, is continuous at the point (a,b), if…

Q: lim2

A: Explained below

Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

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Q: '5x2+3х-1) lim = 4x2+5) n-00

A: Divide the numerator and denominator by the highest power i.e. x^2 and simplify the limit.

Q: Find lim √√3x² + 3y² -1. (x,y) →(3,1) lim √√3x² + 3y² -1 = (x,y) →(3,1) (Type an exact answer.)

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Q: 3x2 + sin(x) lim x(x+ 5)

A: Given rational function is fx=3x2+sinxxx+5

Q: 4x3-2х с) lim x→00 V2x4+1

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Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: Use synthetic division to find 1"(-1) and f"(-1) where f(x)= 3x'-8x + 5x-2x' + 5x +13

A: To find the f'''-1 and f4-1 Given that the  fx=3x7-8x6+5x4-2x3+5x+13 f'x=21x6-48x5+20x3-6x2+5…

Q: -2x² + x 41. g(x) y 3 - 1 -2 - 1 (a) lim g(x) (b) lim g(x) *→-' 1.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: x± – 2x – 3 x⇒2 x2 – 5x + 6° - (b) lim

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Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: csc(6x) 7. lim x- csc(2x)

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Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: Find lim (18 - y)2/3 y→ - 9 lim (18 – y)?/3- y→- 9 (Simplify your answer.) %3D

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Q: If y=(X+3)(X-5)^7 then find y`

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Q: x²-1 2. limx-1 1-x

A: Since you have asked multiple questions in a single request so we will be answering only first…

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

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Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

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Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

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Q: 2x² + x – 1t lim x→-1 x + 1

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Q: (e) lim V9r2 +x-3r %3D

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Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

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Q: x2/3 16 18. lim

A: Given that: limx→64x2/3-16x-8

Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

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Q: lim = e7x- e6x/ex-1 x>0

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Q: Find Lim- 3x-6 x-2 x²-4' A. ∞o C. 34 Select one: ос O B О А B. D. +13 010

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Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: x -7x+10x 1. lim X>2 x +x-6

A: Topic = Limits

Q: (8x²-8x²e* 5. lim x3 А. 8 В. 1 С. -8 D. 0

A: We will find the limit

Q: 3x lim 2х +1 x→-00

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Q: lim (5x + 2) = 17x→3

A: We will find the limit by substitution