pigeonhole 1. Show that in every sequence (ai,a2, a100) of the letters A,B,C,D, there are two...
Show that a bounded and monotone sequence converges. Here a sequence is called monotone, if it is either monotone increasing, that is for all or monotone decreasing, in which case for all . in Sn=1 An+1 > an neN an+1 < an We were unable to transcribe this image
help please! Question 15 < > B0/1 pt 53 99 0 Details Write down the first five terms of the following recursively defined sequence. aj = 3; an+1 2an + 10 Question Help: D Video Submit Question Question 16 < > 10/1 pt 5 3 399 0 Details For the sequence an = an-1 + an- 2 and aj = 1, a2 = 2, its first term is ; its second term is . its third term is . its...
A sequence has the discrete-time Fourier transform 1 - a2 X(e) ae-jw)2(1- aejw) la| < 1 (a) Find the sequence r[n] (b) Calculate X(eju)cos(w)dw/27
3.13 Determine the DTFT of the two-sided sequence y[n] = a1",jal < 1.
4. Show that the sequence defined by a=2 An+1- 3-an satisfies () < an < 2 and is decreasing. Deduce that the sequence is convergent and find its limit.
I need help with B,C, and D < 04 CM Adaptive Followup Two Hanging Masses Va A2p Figure DOLL WE Caps Lock
X is a Gaussian random variable with zero mean and variance ơ2 This random variable 5 20 points is passed through a quantizer device whose input-output relation is g(z) = Zn, for an x < an+1, 1 N where In lies in the interval [an, Qn+1) and the sequence fa, a2, al z-00, aN41 # oo, and for i > j we have ai > aj. Find the PMF of the output random variable Y g(X). aN+1) satisfies the conditions
(c) A sequence {2n} satisfying 0 < In < 1/n where E(-1)"In diverges.
2. Show that a. P.(-x) =(-1)*P(x) b. Px.(0) - (-1) 2(!) c. P(0) - 0 3. Prove that j «P.com j«P«6?P.:(}é 4. Evaluate j <P:6)Ps(x)dt 5. Use Rodrigue's formula to calculate P (4)
Exercises 4.2 ove that the sequence (1 + z/n)"; n = 1, 2, 3,..., converges uni- ly in Iz <R < , for every R. What is the limit? 1, afdos se converge? diverge?