2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: 1. + x+1 lim -1 /-

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Q: 4x lim エ→-0 r2-8z+3

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Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: (a) 5x-3 - 4. (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х-3

A: To find the limits

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

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Q: Show that lim Z-2 (2-2)4 || ∞

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Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

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Q: In(x-2) 1- Find , limx→2 In(x² -4)

A: Answer and explanation is given below...

Q: 1. 8x – 27 lim x 2x- 3

A: Here we have to evaluate the following limits,  1)

Q: V5x+4-2 -lim

A: Given that : lim(x tends to 0) (√(5x+4)-2/x). We find the value of this limit problem. Here i…

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

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Q: 1 limx-0- (x 8 %3D x2

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Q: Prove that lim(4x² – 25) = -9 X-2

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Q: b. limx-3= In(x-2) %3D X-3

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Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

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Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

Q: 1- x - x2 lim 2x – 3 x--00

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Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

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Q: Find 2-Vx2-5 lim X-1 x+3

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Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

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Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: 11-3z lim 2r +7x-9

A: Here we find the limit of given function.

Q: Find Lim 5e*²-2x

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Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: f-x² + 10x - 25 < g(x) < a² - < 10x + 25 for 4 <x 6, evaluate lim, →5 9(x).

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Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: Prove lim-13x+2=-1

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Q: Calculate the limit algebraically. 7x2+7x-6 lim 10x-2 1. 11 9. 10 10 1/2

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Q: Vx2-3-2. 7. lim x2 +1 х->-1 Зх -V6 — х 8. lim х->-1 4 + x2

A: (7) We have to evaluate the following limits -  limx→-1x2-3-2x2+1Applying limits i.e. put x = -1 we…

Q: 1. Evaluate. 3x -14 a) lim- -4 x-2 r²+x-12 b) lim x-3

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Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: の O Find Lim 2-X X +2 メー→2 2- 2X

A: Since you have posted multiple questions we will answer first for you or if you want any specific…

Q: Q4/A/ Evahuate Vi+x -1- 2r-7x-15 5 3- lim,0 1- lim, o (tan 2x.csc 4x ) 2- lim,. x-5

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Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: If /10 - 7x sf(x)s/10 -x for -15xs1, find lim f(x). x-0

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Q: 1 4 lim X + 2* х-2 In(2x-3)

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Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: Find the limits

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Q: 1 is 68x+/68² x²+8x+71 lim→-0

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Q: x2-3x-2 limx--1 х+1

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Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

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Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,