Let gix)= what is the Value of the fitty deriatie of 1x-2)= the function (1)? point l: Hint ļ Find the laylor Series of 9 centered at at the (S0) 1.

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A: use integral test to check the convergence of series.

Q: In the given equation as folows , use the Root Test to determine the convergence or divergence of…

A: The given series is ∑n=1∞1n-1n2n To find: Determine whether the series is convergent or divergent

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

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A: given: ∑n=1∞nn+1

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A: step:-1 A series of the form   ∑n=0∞ cn x-an is power series and centered at x=a. Given  series  is…

Q: To what values does the Fourier sine series converge at z = =0, x= π/2, x = π, x = 3π/2, and z = 2π?

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Q: In  the given question as folows , find the interval of convergence of the power series. (Be sure to…

A: Consider the series : ∑n=0∞2xn Find the interval of convergence. The series ∑n=0∞arn is a geometric…

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Q: In the given equation as folows, verify that the infinite series diverges. see the equation as…

A: Given : ∑n=1∞n2n+3

Q: Evaluate the integral | dx as an infinite series.

A: Taylor's expension of exponential function ex near x=0 is given byex≈1+x+x22!+x33!+...+xnn!+....

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Q: 1. (V28)"

A: given∑n=0∞1(28)n=limx→∞1(28)n=1(28)∞=1∞=0therefore series converges.

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A: The given series,   ∑n=1∞2nx-8nn+8

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A: Taylor Series expansion of f(x) about the point x=a f(x)=∑k=0∞fk(a)k!(x-a)k…

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Q: d E A. By power series, prove that: -cosx = -sinx dx

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Q: Make up the derivation of Eq. (8.4) Wrect (@p) +2 ΣWrect(t)e-ipt = e-ipT(N-1)/2N sin(@pT/2)…

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Q: The following telescoping series cos \n + 1, cos-1 n=1 \n + 2, converges to tan¬(0.5)

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A: Known fact: 11-y=∑n=0∞yn  provided y<1.

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Q: sin 0,1 In 8 -0,25

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A: Consider the function fx=sinhx2. Rewrite the given function using sinh(x)=ex-e-x2.