For the given functions y = f(x), find 1) MacLaurin’s Formula that includes the 7-th Taylor reminder, 2) the radius of convergence, 3) the interval of convergence

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A: I have used the expansion for sine function

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A: given sequence an=sin2n+3n2-5  to find the rate of convergence of sequence as n→∞

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A: Given f(x)=(x-3)7=0 . By just seeing the function we can realise that x = 3 is a root of the…

Q: y = 6*

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Q: Calculate the Radius and the Interval of Convergence na" 2n n=0

A: we will be using ratio test for the series to converge.

Q: Find the radius of convergence for: (– 1)"z" 00 n=1 Vn + 8

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Q: If Cn(x – 3)" converges at z = 7 and diverges at z = 12, what can you say about: (a) the convergence…

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Q: For the given function f(x), find 1) Taylor’s Formula in powers of (x − x0) that includes the 5-th…

A: The above expansion can be simplified as ∑n=0∞cosπ4+π2nn!x-π4n

Q: fu)=Sin(x) aニT R=?

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Q: find 1) Taylor’s Formula in powers of (x − x0) that includes the 5-th Taylor reminder, 2) the radius…

A: The given function is fx=1x2-6x+10. The domain for the function is all real numbers. Let's take…

Q: If X1, Y1, are two positive unequal numbers and Xn = (xn– 1+ Yn – 1) and y,= Vx – 1 Yn –1 V n 2 2.…

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Q: MacLaurin’s Formula that includes the 7-th Taylor reminder, 2) the radius of convergence, 3) the…

A: We are entitled to solve only one question at a time. Please post another question separately.

Q: Find the function to which the given series converges within its interval of convergence. Use exact…

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Q: Find the interval of convergence for xn 5n 8 n=0

A: The given series,     ∑n=0∞xn5n

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Q: Find the first five non-zero terms of Taylor series centered at x = 1 for the function below. %3D…

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A: Given the functionf(x)=sin(2x)Centered at a=π3

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Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: If X1, Y1, are two positive unequal numbers and Xn = (xn- 1+ Yn – 1) and y, = Vx, – 1 Ya-1 V n 2 2.…

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Q: Find the interval of convergence of this power serie (x+1)t

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Q: Ln=0*

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Q: Try to prove the convergence of Newton’s Method

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Q: Find the first 4 non-zero terms of (1+3x)^(1/4) centered at x=0. what is the radius of the…

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Q: Find the interval and the radius of convergence (- 1)"x" Σ n=0 3n+1

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