Compute the z-transform of the sequences and determine the corresponding region of convergence x(n)- u(-n + 5) Oz5/11-21] with ROC /z/ < 1 O-25/11-21] with ROC /z/ < 1 Oz5/11-2¹] with ROC /z/ <1 O 25/11+z¹1] with ROC /z/ > 1 O 225/11+2¹1 with ROC /z/> 1

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.

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Q: If the sequence {gm} is orthonormal on [a,b] with weight function w(x), then the sequence {Vw (x)…

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Q: 1. Find the limit of the sequence if it exists: 1- n 70 - 4n? (a) a, (b) a. - (0.9)" (c) a, -…

A: Dear student. You have posted many questions. In our policy, i have answering the first question. If…

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Q: 9) Σ=1 10) 3/3 - (-1)^(1+n²) n! 3 1 4 2 11) Σ.» (= − 1) =0 τη 13) Σ=1 14) En=1 15) En=1 Σ + n+1 12)…

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Q: Which of the following is the reduction (recurrence) relation obtained for n > 2 %3D using the power…

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Q: Find Fourier series (first 5 terms only) for the function given by: -2 -5+x 3<x < 5 f(x)= %3D 5<x<9…

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Q: 7. Use the ratio test for sequences to prove that limn→∞ n¹/n² = : 1.

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Q: graph the first several partial sums of A(x) A(x) = 1 + x^3/(6) + x^6/(180) + x^9/(12960) + …

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Q: Find the point wise limit of the sequence &{fn} the sequence {fr} Where Sin nx In (x) = √n if tay J…

A: Here we use basic limit property

Q: ounded funclions on A to h,t converges uniformly

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Q: Prove that x ∈ E' iff there exists a sequence (xn) in E\{x} such that xn -> x.

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Q: The generating function of a_{n+1}=8a_{n}+4n*, where a,=3 is a. Σ2x)^k+Σ (4x) ^{k Ο b. Σ( 2x) ^{k}+…

A: To find the generating function of an+1=8an+4n+1 First multiplying the relation by xn and taking…

Q: Q2\ Determine the z transforms of the following sequences *

A: In the given question, the concept of Z-transform is applied. Z-transform In its most basic form,…

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

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Q: The generating function of a_{n+1}=8a_{n}+4*, where a,=3 is Ο a. Σ2x)^+Σ (4x) ^Κ O b.…

A: Given an+1=8an+4n+1 Multiply the recurrence relation by xn an+1xn=8anxn+4n+1xn…

Q: fi(n) = [n*/³] f2(n) = n[3] f3(n) = (/n)!/2 f4(n) = 2" /22n fs(n) = log3(n³) + log2(n")

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Q: i) Xn = ii) xn = (-1)" √n 2n²+1 √n-1 √n+1*

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Q: 32. Find the limit of the series: x (1+x) (+x) 1+x2 A) B) xx X+x C) (1+x D) (1+x) E) x

A: Given series is,

Q: (ii) If $x_{i}$ follows Bernoulli $(p)$, show that $$ \frac{1}{n}…

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

A: Answer

Q: Question 1.3. (1) Show that 6 divides 7" +n³-3n² + 2n-1. for all integers n ≥ 0. C

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Q: 2n+1 (2n-3 a.) = {(2²1 =3) "" } 116) (6.) = ( ³ + 05/(1+x)} 2n+5 11a) {a}={ O {c} = √√nº +3² +1 2n²…

A: Given: 11 a) an=2n-32n+52n+1, b) bn=3+cos3n+πn and c) cn=n6+3n2+12n2+3 To determine: Whether the…

Q: S*(1+ 2') %3D 14 + C In(7) In(14) 7t+1 In(7) 14t+1 + C In(14) 7t In(7) 9t + C In(9) 7t + C In(7) 7t…

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Q: In the half-range sine series expansion of f(t) = e^2t for Osts1, find b7. O 14z[(1+e^2)/(4-497^2)]…

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Q: (a) {(-} )'}

A: Solution a: Given sequence is xk=-15k       (1) Formula for z-transform is Zx[k]=∑k=0∞x[k]z-k From…

Q: 8. Show that the sequence f,(2) =. converges uniformaly in the region 1+ na l2l2 2, but does not…

A: Show that the sequence fnz=11+nz converge suniformly in the regionz≥2, but does not converges…

Q: Suppose that {An, n ≥ 1} are subsets of 2 with P(An) = 0 for all n. Show that PU An n=1 = 0.

A: Suppose that An,n≥1 are subsets of Ω with P(An)=0 for all n.P(⋃n=1∞An)=0

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A: Given: ∑ii=1∞αi-1=11-α2 α&lt;1

Q: Consider the sequence a_(n) defined by the recurrence relation a_(n+1) = ( - 1) ^ ( n)…

A: Since you have posted a question with multiple sub parts, we will  provide the solution only for the…