2. Which of the following series diverge by the BDT? (Σ(-2) k=0 ê (c) Σ Σ(1+1)" Σ(6) 13 (e) none of these (d) n k

Q: 6. Σ. 4n² - 9 n=1

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Q: 4. Find the sum of the following series: n=1 1 (a+n)(a+n+ 1)(a +n + 2) (a-n, n = N).

A: Introduction: The sequence of partial sums is very significant in determining the sum of an infinite…

Q: The Maclaurin series Σ (16) Select one: O a. cos(4x2) O b. e-4x² O c. sin(4x²) O d. cos(16x4) (2k)!…

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Q: .19. Evaluate the series: S(x) = Σakxk, k=0 where (a) ak = 1,

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Q: 2 2 n(n-1)x", n²-n 37

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Q: The power series representation of the function f(x) = is 3 + x Select one: а. E(-1)"3"x" n=0 O . Σ…

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Q: Which of the following is not a p-series? (A) 2 -4 n n=1 (B) n n=1 1 (C) ne n= (D) en n=1 8. 3.

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Q: 1.19. Evaluate the series: where akk² - 1, = S(x) = Σ akxk, k=0

A: AnswerExplanation:Step 1: Step 2: Step 3: Step 4:

Q: which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c.…

A: As per the question, we need to find one series which is not convergent. Let us start from option…

Q: 1 4. Use the power series for f(x) I arctan x to approximate the value arctan 11 the first four…

A: Given informationUse power series of

Q: 00 Use the power series representation f(x) = arctan(x) = Σ n=0 representation for g(x) = on the…

A: The power series representation of  and

Q: 1. Which of the following series are power series? 3(х + 2)" In(n) (iii) (i) ::: 11 nx2n sin" (x) (x…

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Q: (– 1)" For the series calculate the sum of the first 4 terms, S4. 9n0.4 + 10 n=1 S4 Include several…

A: Series and error

Q: Which of the followings are divergent series? 5+2" 1. 00 II. En=1 4n-1 I. E (sin1) IV. E cos…

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Q: Q2 Find the Maclaurin Series expansion for the function, 1 f(x) = (1 + 2x)3

A: We have  to write the expansion

Q: Q.2

A: The answer is given below.Explanation:

Q: Using the limit comparison test, which of the following would prove the end behavior of the series?…

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Q: find the sum of the series 6 (2n-1)(2n+1) 2₁ M=

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Q: Determine if the given series is convergent or divergent. (1 – 2n²)" n2n 8. 3" 1. 2. en n=1 2n n=1

A: According to our guideline we can answer only one question and rest can be reposted.

Q: f(x)=In(1-x)

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Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that…

A: The power series with center "a" is given by: ∑n=0∞an(x-a)n

Q: Evaluate the sum k=0 by following these three steps: -1 Differentiate the Maclaurin series of (1 –…

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Q: . Find the Maclaurin series of f(z) = e-2z

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Q: 16. f(x) = In (1+4 x), a = 0 %3D

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