LETSn=(n+1)/n+(-1)^n*cos(n*pi/6)Find the set of sub-sequential limits of {Sn}infinity n=1
LETSn=(n+1)/n+(-1)^n*cos(n*pi/6)Find the set of sub-sequential limits of {Sn}infinity n=1
Find the limits of the following sequences, if they exist. n+ (-1)" COS n An = an = n
Find the rate of convergence of cos(1/n2) + 1/2n4 to 1 as n->infinity
Results for this submission Entered Answer Preview Result (3/2)+(6/pi)*cos(x) e + cos(2) correct (3/2)+(6/pi)*cos(x)-(2/pi)*cos(3*x) 3 6 st-ce 2 s(3x) correct (3/2)+(6/pi)*cos(x)-(2/pi)*cos(3*x)+(6/5)*pi*cos(5*x) it coule) = _ cou(30) + * cos(52) incorrect A correct f(x) f(x) correct At least one of the answers above is NOT correct. 1 (1 point) (a) Suppose you're given the following Fourier coefficients for a function on the interval (-1,7): a 3 6 6 6 = , ai = –, az = -2,25 = = and 22,...
Consider h(n)=[0.5^n * cos((pi*n)/2)]*u(n) a. find transfer function H[Omega] b. If x(n)= cos((pi*n)/2), find system output y[n] using H(Omega) from part a
Show that the series cos(n) from n=1 to infinity is divergent.
Euler found the sum of the p-series with p = 4: (4) = infinity n = 1 1/n^4 = pi^4/90 Use Euler's result to find the sum of the series. Infinity n = 1 (3/n)^4 81/90 pi^4 infinity k = 6 1/(k - 3)^4
Evaluate a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)
2n2-31+1 b. lim cos 1. Find the following limits: a. lim 1 00 --- 3n2+4 n-00
6. Let si = 4 and sn +1 (sn +-) for n > 0. Prove lim n→oo sn exists and find limn-oo Sn. (Hint: First use induction to show sn 2 2 and the.show (sn) is decreasing)
Find the imin and limsup oP the followi uences denoted lou Sn n+1 (b) sn = n (1+(-4)^) + n.)((-1) ) (c) sn=봬 , where ynis - bounded (d) sn =n2. sequence. Find the imin and limsup oP the followi uences denoted lou Sn n+1 (b) sn = n (1+(-4)^) + n.)((-1) ) (c) sn=봬 , where ynis - bounded (d) sn =n2. sequence.