Correctly match this set about an alternating series. * E(- 1)"an n=1 the absolute is AT MOST has two must go to 0 absolute value which is the nth value of terms components get smaller as n using a sub n of (n+1)st term term test must be decreasing indicates error of sum of n terms for a convergent series limit of a, as n -* of sequence alternating series test

Q: Sigma (n=0 to n=100) ((n+4)/2))

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Q: C) Use a known series to express f(x)= sin(x²) X as a Taylor series.

A: Given function is f(x)=sin(πx4)x As, we know  sin x = x-x33!+x55!-x77!+…

Q: 2. (Section 17.6) Find the area of the part of z=12-22-y² between z=3 and 2 = 8.

A: The given surface is:z=12-x2-y2   between z=3  to  z=8

Q: Section 6.2: 1. Use multiplication of series to find a power series representation of the function 1…

A:

Q: An AR(2) time series, {x,: t€T}, if | 7₁ |>1 and | 7₂ |>1, where ₁ and 2 are the roots ofthe…

A: Given that  is an AR(2) time series, if  and , where  and  are the roots of the polynomial

Q: Find distance between lines L₁:²=²=2+³ and L₂:2²-12-23 X-1 3 Z+3

A: Note:-Since you asked multiple questions,according to our policy we can answer only first question…

Q: State Fourier Series Theorem ?

A: According to the question, we have to state Fourier series theorem. The Fourier Series allows us to…

Q: Suppose a1, a2, ... > 0 and bn 1 bn diverges. n=1 a₁+a2++an Prove that n

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Q: 1. (Section 17.6) Find the area of the part of x² + y² = 9 between z = 0 and z z = 3+y.

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Q: B) Use a known series to express ƒ(x) = e¯ as a Taylor series.

A: We need to use a known series to write the given function as a Taylor series.

Q: X<1 x-y<3

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Q: lim (n22n) / n! = ?

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Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: Identity 161 For n 2 0, Er2o (4) ()2"-2* = (").

A: