10- x - x² if 3x + 13 if In(x-1)-2 if Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) = lim #→-1 lim #→-1+ lim →-1 lim 2-5 lim 245+ f(x) = f(x) = f(x) = f(x) = x < -1 -1 < x < 5 x > 5 lim f(x) = = 145

Q: Show that lim(5x+2)=-18 x-> -4

A:

Q: lim2

A: Explained below

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A:

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A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

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A:

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A: Solution  limx→∞Axn=0 , where A is constant and n&gt;0

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A:

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A: Answer is true.  Using L hopital rule.

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A:

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

A:

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

A:

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A:

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A:

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A: Given

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: If 2x - 2s f(x) S x² - 2x + 2 for x 2 0, find lim f(x) x-2

A: see below the answer

Q: If 3x – 2 s f(x) sx² - 3x + 7 for x2 0, find lim f(x). x-3

A:

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A: Limits question

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A: limit

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A: Please see the explanation below

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.