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Q: Find the maclaurin series expansion for f(Z)=(4z+1)/(3(z^2)+5z-2)

A: The given function fz=4z+13z2+5z-2. We have to find a Maclaurin series expansion.

Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five…

A: Put x=-5 and x=1/2

Q: Rn Cx) is fen i tely bounded in every Taylor why ter m get smaller Đ txplaim why the error term…

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Q: For n ≥ 1, derive each of the identities below: ( n choose 0 ) + (n choose 1 ) + ( n choose 3 ) +…

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Q: 4 o n In n In (In n )[ In (In (In n ))] is convergent or 3. Determine whether divergent.

A: Given:

Q: Oc Find the Taylor Series af Hhe given funebon Paint as conter and detamine the Wwith the vadius of…

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Q: 1 A sequence (m) is said to be contracture if there exists a constant k with ockal such that…

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Q: *prove that 1P4 ľ +3'+ ... +n² = n' (n+1)* 4 for n= l,2,3

A: The given expression is the series expression. Formula to find the sum of series helps to prove the…

Q: C₁ + ₁[(n + 1)cn+1 +2cn_1]x" = 0 2Cn-1 relation: Cn+1 = n+1 From: I have the recurrence From this, I…

A: Let us solve this step by step.

Q: * find the Taylox expantion of P(z) = Lu of 1+z) around 0 region 1-7 Convergen:

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Q: fun c tro n flL-x)= -fex) for EI odd n Suppose that f 1s odd for for tho n an {x/ -Lcx<L4. and…

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Q: • Σ(-1) -1. n=1 1 4η + 1

A: We have applied lebnitz test to find convergence of series

Q: Calculate the qiuen expression mentally using easy combindnons. write a sequence of…

A: In this question we have to solve following expression using easy combination

Q: Determine the period of the recurrence relation Zi+4 = 2i + zi+3 mod 2 i > 0 for the various…

A: Given, zi+4=zi+zi+3 mod2 Since, there are four  vectors which can take value that is 0,1 Hence, the…

Q: o prove that knVA=| Test the seuence (ConViordív) of (10) an = (^_-) ) an 15 ら 9n: 3ntl 3n-1 (の+ (7)…

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Q: Find the in tervals onu are? (H [ncreassing and dec iU concareup and cancave and the X- coor dinate…

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Q: 3x 7x® 47x7 sinh (r +x² + 2 40 24 112

A: Given: sinhx+x2+5x36+x42+3x540-7x624-47x7112 Formula used:fx=fa+f'a1!x-a+f"a2!x-a2+f'''a3!x-a3+.....

Q: 3. Discrete R.V. & Binomial a.) Let X~ Bin (7, 0.3). Calculate 1.) P (X= 1) 2.) P (X 4) 4.) μ 5.) o…

A: The question is about discrete probability distribution.Introduction :Let, X be discrete which…

Q: Prove that Q_n = sup 1/n(1-(1/(nx+1))=1/n

A: Answer

Q: - Let Σa, and Σb, are two infinite series such that 0 Sa, sb, thes a) ifa, converges then Σb,…

A: According to the guidelines I am going to solve the first question only, please post the remaining…

Q: Sp

A: The objective of this question is to understand the formula for 'n choose k', which is a concept in…

Q: Least residue of 45^37 mod 19 when using Fermats Little Theorem

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Q: Q9) Compute J x-2)(x-3) d. 41 1. a) In- b)3In2 c) The integral diverges d) In2 5nl R10) The seies

A: Integration

Q: How many ways are there to distribute r+s identical balls among five different children such that…

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Q: exercise 1.5. Let n > 1. Prove that 6"+1 + 7"+1 6" + 7" is reduced.

A: When a mathematical statement is given to be proved for a subset of natural numbers, we use the…

Q: 1) Compute y (0.5) with y!!! xy¹ = (1-x) ex by Taylor series y (o)=yl (o)=y" (a)=1₂h = 0.5 16 Euler…

A: Given That :  y"'-x y'=(1-x)ex y(0)=y'(0)=y"(0)=1, h=.5 To Find : compute y(.5) using Taylors series…

Q: n Expand x" in a series of Hermite polynomials.

A: We have to expand x^n in a series of  Hermite polynomials.

Q: Forthe Benstein felynominte prove that こニ-x)() c} ヒ。 4n

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Q: fn Maclaurin series for %3D

A: As the policy of bartleby the provisions is to solve only one question at a time

Q: E'v reR, 3 Cauchy sequence of rational numbers' such that an r

A: