is diveugent 2) Show that the haronie series

Q: Use Theorem 9.17 to give an upper bound to the 40th truncation error for the series (-1)" n2 n=1…

A:

Q: Show how series is divergent

A:

Q: Find the first four nonzero terms in the Maclaurin series for (tan'x). /hat is the Maclaurin series…

A:

Q: 2. Use Taylor series to evaluate tan x lim -

A: Limit using Taylor series

Q: When all the numbers in a given data series appear only once, then the series is said to: a. be…

A: We know that, Mode:     The value occurs with the highest frequency. Uni mode: When there is only…

Q: Use the power series expansion of ƒ(x) = 1 x)²· 1- x for x < 1 to find a power series ex

A: Remember power series expansion for f(x)=11-x; x&lt;1 is  f(x)=11-x=∑k=0∞xk

Q: Find a Power Series Representation for 3-x2 Show all of your woi

A: We have to find the power series

Q: without using the Cauchy Completeness Theorem, show that if (sn) and (tn) are both Cauchy sequences,…

A:

Q: Use the four-point DFT and IDFT to determine the circular convolution of sequences: xi(n) =…

A: By DFT properties we know that,                            DFTx1(n) N x2(n) =X1(k) . X2(k) here, N…

Q: Could you plz prove "upper reimn sum is always greater or to lower reimen sum"thanks

A: This question is related to reimann integration.

Q: Find the yalues of k for which he series conxer ges.

A:

Q: Q2:Expand using Maclourin series (1 - x 1-x² 2 ln(1 + x4) )? -

A: As per our guideline we are supposed to answer only one question of  multiple type of questions.…

Q: 2.1. figure out a power series tnot can reprisent the foll owing well as as its radius of con ver…

A:

Q: A sequence of random convex polygons is generated by the following scheme. At each stage, the…

A:

Q: By using power Series Method only prove that:- Sdx In (I+x)+C

A: We have to show that the following by using power series

Q: Expand sec(x) by Maclaurin series.

A: Maclaurin's series of any function f(x) is given as,…

Q: Use a Maclaurin series to compute the limit.

A:

Q: Prove that {x_n} converges. Need to use info in a) and b)

A: We have the following information from part(a) and part(b) for any a,b∈ℝ…

Q: is it seies converge ost not. 1-2)^

A: To find:

Q: Use a Maclaurin series to compute the limit. In(1+ 2) – - lim %3D

A: Given that:            Let L =limx→0ln(1+x)-xx2  The Maclaurin series of ln(1+x) is given by -…

Q: Use divergence test to show that the series E-1(1 +-) 2%3D1

A:

Q: 4 (as Let fl6): Ju-x. farms of Hhe Maclemin Compute the first for fle) series

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

Q: मया 8. a) にい un If the series ○ くu L= lim lan!" be an arbitray sequence.

A:

Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Find the number of words of 5 letters such that each can be formed with the letters of the word…

A:

Q: Find the Maclaurin series for f0X) -

A:

Q: 00 The series 47 Diverges Converges to -1/2 Converges to 4 Converges to 1/2 DO REDMI NOTE 9 PRO ges…

A: To find whether the series converges or diverges

Q: Obtain the DFT of the given sequences using Direct method x(n) = {4,1,1,2}

A: Introduction: The discrete Fourier transformation is used to transform a discrete signal. Discrete…

Q: Use the alternating series remainder theorem to determine the smallest number of terms for require…

A:

Q: Use a counterexample to prove: If a sum of two integers is even, then one of the summands is even.

A: The objective is to use a counterexample to prove: If a sum of two integers is even, then one of the…

Q: Find the Maclaurin series for without using any known Maclaurin series. 1+x

A:

Q: Apply Taylov's expansion and find The seyies for tenn at 4

A: Taylor's expansion of tan2x at π4 Now fx=∑n=0∞fnan!x-an fx≈Px=∑n=0∞fnan!x-an Now derivation of given…

Q: Find the sum of the following series 8, 5n+1 Find the interval of Converyen ce of the folluwin power…

A: Please see the explanation below

Q: prove its true by mathematical induction

A: The mathematical induction technique is used to prove the validity of the statement for every…

Q: Show that the sequence delened by +5 mcreasing and ancg"for allkn an is thereas and anz9

A:

Q: write the four non Zeroterm in Maclaurin series for tanx

A:

Q: Show two directly, using Yatio test a that there Solutions Series of values Converges Canverges for

A:

Q: does not converge weaKiy in 7.

A:

Q: the term oun tenining the given expession of the given binumial Find Expand using binomial theorem

A: To solve the given binomial problem.

Q: Find the limit of the series (if exist) 1 -1 3/4 1/4 4/3 1/3 None WI

A:

Q: Find the or series Of x - 2x² + 3x - 4 Tray lor Series exanron about x = 2 expansion about x= 2 ed…

A:

Q: .9 what is the rad:us of con vergence for the following pawer series? (5z -2)" n= 1

A:

Q: Please find a recursive formula (Using Stirling Numbers of the Second Kind.) for the number of…

A: Consider a partition 1, 2, 3, ..., n into k sets with n, k partition.  Let sn, k be the number of n,…

Q: 7) Show that if a, > 0, and Lim na, +0, then the series aj + az + az + a4 + diverges.,

A:

Q: two different Laurent series expansions centred is in which those expansions are valid.

A: Given:- fz=zz-i2+1z

Q: Find a Maclaurin series expansion for f(x) = cosh x

A:

Q: circular convolution of sequences

A: Circular convolution using circular convolution: x1(n) = {a, b, c, d} and  x2 (n) = {4, 3, 2, 2}…

Q: Use series method to compute dr. 1+2r3

A: We have the given integral is ∫dx1+2x3dx Now, we write using binomial expansion  11+2x3=(1+2x3)-1…