Please answer question 34 only 33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove that if the series Σ-a, is absolutely convergent, then the series s (n + 1 33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove...
Write out the sum. n-1 (2k + 7) k=0 OA. 7+9+ 11 + ... + (2n + 5) OB. 7+9+11+ ... + (2n + 7) OC. 9+ 11 +13 + ... + (2n + 7) D. 9+ 11 +13 + ... + (2n +5)
11. (6 points) Find the sum of the following series: (a) Σ 2n +1 3η n=0 ΟΙ (5) Σ n! ΠΟ
(4) Guess a formula for the sum (2n 1) (2n +1) 1.3 3.5 Prove your guess using induction (4) Guess a formula for the sum (2n 1) (2n +1) 1.3 3.5 Prove your guess using induction
Show that for all large positive integers n the sum 1/(n+1) + 1/(n+2) + 1/(n+3) + ... + 1/(2n) is approximately equal to 0.693. I am trying to solve this problem by setting the sigma summation from k = n + k to 2n of 1/j to try to make a harmonic sum but is not working. I let j be n + k so it matches the harmonic sum definition of 1/k
Find the sum of the series 2n=1 ni
2. Simplify: (n + 2)! (1) n! (2n-1)! (2) (2n + 1)! (2n + 2)! (3) (2n)!
Prove: without using l'hopital's rule. infinity 2n-1 ln(2) (2n-1) n infinity 2n-1 ln(2) (2n-1) n
Calculate the convolution sum x{n]=x[n]*x,[n]: 3. a). xn] S[n]+36[n-1]+28[n-2], x,[n]- u[n]- u[n-3) b). [n]- S[n]+ d[n=1]+S[n-2]+0.58[n-3]+ S[n-51,x,[n]- x,[2n] 4. An LTI system is described with the following LCCDE: In]=x[n]+2y[n-1] a). Plot a block diagram to show the input-output relationship. b).With the input x[n]= S[n], and known y[0] = 0 . Find out the output sequence In] using recursive calculation. 5. A system is described with the following figure, find out a suitable LCCDE to express the input-output relationship y[n] [n]...
3. The following series is attributed to Newton. It can be used to calculate r. n-0 (n!) (2n 1) 24n+1 (a) (2 points) Prove that the series converges. (b) (2 points) Compare S5 to the actual value of π. 3. The following series is attributed to Newton. It can be used to calculate r. n-0 (n!) (2n 1) 24n+1 (a) (2 points) Prove that the series converges. (b) (2 points) Compare S5 to the actual value of π.