2x +1 if x< - 3 Suppose h (x) = 5 – 6x if -33 (А) -5 в) 6 23 D) -13

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. Lim 2 x+3x+1 7x²-2x+4

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Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: Find the limits

A: We will find the limit by substitution

Q: Vx+5-3 b) lim x→4 х-4

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Q: 7. (2x - 1)5 lim x → +∞ (3x² + 2x - 7)(x³ - 9x)

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Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

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Q: 11x + 3 lim 9x2 4x + 5

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Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: Vx +1-1 2. lim

A: we have to find limit

Q: Find the limits

A: The given function is

Q: 28x2 + 949x – 2124 а. lim x→-36 37x² + 1380x + 1728

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Q: x-16 3. lim エー6 Vx -4

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

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Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: 16X2/3 6) lim х-8 4-x4/3

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Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

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Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: For * + 3. lim (02)-(0,0) :? O A. -2 В. 2 C. Does not exist. D. 0

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Q: (2x – 1) 3. lim (3x² +2x - 7)(x – 9x)

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Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

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

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Q: х+10 е. lim X2- x - 2

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Q: Find lim 2-0 -x-1 x²

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Q: Evaluate the limit 7x3 – 2x2 – 2x lim 2 — 4х — За3 x → 00

A: limx→∞7x3-2x2-2x2-4x-3x3 ⇒ limx→∞7-21x-21x221x3-41x2-3 (divide numerator and denominator by x3)

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

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Q: de 4 V4x* +3 lim 5x +4

A: Divide the Numerator and denominator of the given expression by x2

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.