Find the value of tanh? (0.25 ).

Q: Find if the series converges or diverges and explain what test used and show steps, help is needed,…

A: we will test the convergent by ratio test

Q: Find the sum of the geometric series if it converges; otherwise indicate it diverges.

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Q: Find the sum of the convergent series by using a well-known function. Identify the function and…

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Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: According to alternating series estimation theorem, Rn<= an+1<=0.001 Here, an= 1/(n²+4)

Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? 3— 2х

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Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

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Q: 18

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Q: 10 X

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Q: Determine the interval of convergence for the series whose nth term is 2) n (5") Find the interval…

A: We have to solve given problem:

Q: 2. ク

A: Convergence of the seriese

Q: Determine whether the series converges or diverges. If it converges, find its sum. Evaluate all…

A:

Q: How many terms of the convergent series should be used to estimate its value with error at most…

A: Given series ∑n=1∞7n1.1.

Q: Use the power series for f(x) = arctan(x) to approximate the value, using Ry s 0.001. (Round your…

A: Given that: arctan14

Q: 4 n(n+1) nel

A: Given: ∑n=1∞1n(n+1)-4n

Q: The Interval of convergent for the series is: 4kk (a)[-4,4] (b)(-4,4] (c) [-4,4) (d)(-4,4)

A: The convergence of the series can be calculated using the convergence test. The ratio test is given…

Q: What is a power series? What is the difference between a series of constants and a power series?

A: Query- What is a power series? What is the difference between a series of constants and a power…

Q: How many terms of the convergent series 2 should be used to estimate its value with error at most…

A: Please see the explanation below

Q: Use a power series to approximate the definite integral, I, to six decimal places.

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: evn+2 2+3 n=1

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Q: Date: Find The mac lurine Series for the tan X function up to 5. ter m.

A: We can find the Maclaurin Series Exapansion by usein the series expansion of  tan(x)=x+(x^3)/3 +…

Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Alternating seriese where error estimation theorem is used

Q: Find the exact sum of the series if pessible; If not, estimate with S4 and State

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Q: n(lnn)? W?

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Q: Find the sum of the series correct to three decimal places.

A: solve the series

Q: Use substitution of power series to approximate cosh (2x) dx

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Q: Using Taylor Series, what is the value of yo(4) if y'=x+y² for y(0)=1?

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Q: Use a power series, expanding the first four terms, to calculate the value of (image attached) and…

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Q: Find the sum of the convergent series. 00 4 п(п + 2) n=1

A: Given series,

Q: sin(3x²)

A: Given:            Function = sin3x2   power series for the function: sin3x2   A maclaurin series is…

Q: Estimate 16 dr using the 4th partial sum of a power series. How accurate is this estimate?

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Q: Determine whether the Series is convergent diveryent.Write or the exact test that you Use. 1t2

A: ∑n=1∞(-1)n1+2nn

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: Define error of series with formula?

A: Define error of series with formula?

Q: How many terms of the convergent series 6. should be used to estimate its value with error at mos n=…

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Q: Determine if the altemating series Converges or diverger. 2. +5 Please explain each step tharough…

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Q: Differentiate or integrate number 96 to find the power series for the function

A: We have to find power series

Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: This is a problem related to series and sum calculation. Based on the available formula and method…

Q: Find a power series for the function, centered at c. f(x) 3x + 2' f(x) Σ Determine the interval of…

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Q: 7. f(x) = 유 1+x

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

Q: How do you define a power series centered at x = a? and centered at x = 0.? Give an example of each.

A: We will define a power series with centred at x=a is

Q: Evaluate the indefinate integral as a power series, also find the radius of comvergence  integral…

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Q: The power series in the image converges to cos x for ALL values of x. Using this fact and…

A: The derivative of the function cos(x) is -sin(x). We use this fact to find the power series that…

Q: Is the series convergent or divergent? If convergent, find the sum

A: This is a geometric series.

Q: 7) Explain why the series converges or diverges: Ln =0 (Hint: Geometric Series)

A: Use Geometric series test which states that:         ∑ n=1∞arn converges if and only if…

Q: Is it possible for a series to have [0, ∞) as its radius of convergence? Explain.

A: No, the power series with interval 0,∞ is not possible.

Q: Find the minimum number of terms that would be needed to approximate each series to better than…

A: The given series is ∑k=1∞-1kkk4+1. The maximum error is given as R<0.001. Observe that the given…

Q: (x+1)* 40. k! k=0 IM:

A: The given power series      ∑k=0∞x+1kk!