If xi < x2 are arbitrary real numbers and 1 Xn := 2 for n > 2, 3dn-1+ 3"n-2 show that {xn} is convergent. identify the limit.

Q: 22/Rank and degree o& differential equation + x (y)? -4 In order of sequence it is O secode - fourth…

A: Given differential equation is  y''4+y'2-4y'''=0

Q: Show with the epsilon delta definition that the limit when x --> 4 of (x^3-8x^2+16x+4) = 4

A: we have to show with the epsilon delta definition that the limit when x→4 of x3-8x2+16x+4=4 as we…

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A:

Q: ind the limit if the attached sequence converge

A: Given :an=cos2n2n

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A: 0⁰Pp⁰

Q: Find the limit as x--> ∞ lim In x2 O 2x 00 8.

A:

Q: бп? + Зп = 3 2n2 – 5 Prove lim 6.

A: Limit of the fractional  value

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A: The objective is to find limn→∞nsinπn

Q: ? 2 - n + 5n3 ? lim -6n³ – 3n + 4 lim ?

A: To find the limit, just I have taken common the highest degree term from numerator and denominator…

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A: First we factories then take limit.

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A:

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Q: Assume that Achilles' speed as 200 times as fast as the tortoise's and that this animal has been…

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Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

A:

Q: Determine whether the seguence Conver geo Divenyes, Converges, Find the limit, Ab= 1-1b+3 Yb+1 + b-1…

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Q: Find the limit if possible. In(n*) an = 3n

A: since you have asked multiple questions, as per policy, only the first question is answered.

Q: Is the sequence (N SIN N) properly divergent Is the limit +∞ or -∞0 ?

A:

Q: Finel Sequence s+ aj sove both limits .

A: Take a sequence, aj=-j2j is rational0j is irrational Then the limit for j rational is,…

Q: Find the limit: A.) limit n to infinity (2n(n-3))/(2n(3n+2)) B.) limit n to infinity…

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Q: The limit cim cos CITtht1 reeresents Jerivative of sume function flX) at Some Point X= C.what ale…

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Q: Find the Limit of seqvence d Sz, Sz5z, J2552 ---

A: The sequence is 2, 22,222,…. That is, the terms of the sequence can be written as,…

Q: 9. Let {xn}, be a sequence of real numbers. What does the boundedness of this sequence mean?

A: Given xnn=1∞ is a real sequence.

Q: Give an example of a limit of the form 0/0 that convergesto 1 as x -&gt; 0.

A: Given: Rx=fxgx is a function such that limx→0Rx is of the form 00 and converges to zero. To…

Q: Find Limit (x -> 5) (4x2 -12x-40)/(2x-10)

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Q: Find the limit.  lim x--> infinity  ln (3x2-1/x2+1)

A: