Find the limit: x2-1 lim x-1x(x-1)

Q: 1. Find the following limit algebraically: lim x³ – 5x +2. Make sure to show explicitly how you used…

A: Given that limx->2 x3-5x+2 find out the limit

Q: Find the indicated limit, if it exists x³ + 343 lim x + + ∞ x – 7x + 49

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Q: lim(1 + x)7 x-1

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Q: Find the limit, if it exists.

A: To find the limit limx→-∞ 3x2x+5

Q: Find the value of the limit lim 1 1 X 1 In(x) X-1

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Q: Find the limit, if it exists.

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Q: lim 2x x→0+

A: We are given the limit : limx→0+eπx-2x1x Formula to be used here : If limx→af(x)=1 and…

Q: Find the limit L.

A: Given, limx→2x2-3 To find the limit of above expression.

Q: Find the limit.

A: Given that limx→2 x3. Obtain the limit as follows.

Q: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

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Q: Find the limit, if it exists. 1 lim X-00 x6 - 1

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Q: Find the following limits if they exist. 1. 8.x 4x +1 lim lim 5x-7 Xー→+0 ズー-の 2.

A: Given that limx→∞ 8x5x-7. Compute the limit as follows.

Q: 1 1 -+- 3 lim x→-3 3+x

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Q: x -1- V3x +1 V3x + 1 lim x-5 x - 5

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Q: Determine the following limits at infinity. lim x-6

A: We have to determine the limit: limx→∞x-6 We know that a-m=1am1∞=0

Q: Find the following limits if they exist. 1. 2 3. 8x lim x+* 5x – 7 4x +1 lim x-* x-7 2. x+2x+x+27…

A: To evaluate the given limits.

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Find the limit: lim x° -1

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Q: Find the following limits if they exist. lim xvx* +1-

A: Consider the given limit, limx→∞xx2+1-x2 Rationalize the function as follows,…

Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x<22x,          if x>-2   NOTE: As per our…

Q: Find the limit: lim x° –1

A: The solution of the problem is given in the next step.

Q: Solve the following limit by definition (ii) lim f (x) = 2 if f(x) : (4 – 2x, x 1 x-1

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Q: |x – 2| 27. lim x-2 X – 2

A: Given data: The given limit of the function is limx→2x-2x-2. The expression for the left-hand limit…

Q: Find the following limit or state that it does not exist. x²- 5x +4 lim X-1 X→1

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Q: Find the limit if it exist.

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Q: Find the limit, if it exists. 4x2 lim x--0 x+ 1

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Q: find the one-sided limit ( if it exists)

A: The given limit is,

Q: x 00-X 9 0 = lim Evaluate the limit as x approaches infinity of

A: Any finite number upon infinity is 0. any finite number∞=0

Q: Hi, can you please show me the work and final answer to this problem?Thank you!

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Q: Find the one-sided limit (if it exists).

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Q: Find the one-sided limit (if it exists).

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Q: Find the limit if it exists. Lim, 19 (x)

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Q: Find the limit. lim x²xx+5)) x(x5) 3. 1.

A: We need to evaluate the following limit limx→0-3x2x+5

Q: Determine the following limits at infinity. lim 3x"

A: we have to find the limit of the function limx→∞3x11

Q: Find the limit, if it exists. lim (7 + x- 00

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Q: 5х lim V3x+9–3 x→0

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Q: limx→9 x-9

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Q: Determine the limits of the following items using the limit laws. Write your complete solutions on a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the following limits at infinity. lim x-11 xS-0

A: limx→-∞x-11

Q: Find the following limit or state that it does not exist. 3(2x + 4)2 - 108 lim X+5 X--5

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Q: 4. lim Vx+3–2 x→1 x-1 5. lim et –e2x 1-er

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Q: Determine the following limits at infinity. lim x12

A: Evaluate: limx→∞ x12

Q: Find the following limit or state that it does not exist. lim 1 X-3

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Q: Find the following limit from two sides if available : x3 – 7x +7 2) lim x-2 x2-3x + 2

A: SOLUTION-

Q: x +1 lim а—1 х2 — 1 x-

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Q: find the limit if it exists at infinity lim=5x^2+7x-9/-6x^2+2

A: Given, limx→∞5x2+7x-9-6x2+2