Question

(matlab)

72 (9/10)" Use MATLAB to show that the sum of infinite series 2-1 converges to in(n). Do this by computing the sum for n = 10, b) n = 50, c) n = 100. Compare the values you got to In(n). Start with "format compact" (which you don't have to enter here) and enter your command-line inputs and outputs into the text area below.

Answer 1

* en (x) = 2 () ( x 7 M 2 M 아 드 (-) M ) but ㅈ 10 then (10) = (10) M (9110) - s n의 n

MATLAB CODE:

syms n
display('(a) for n=1:10')
Fa=symsum((0.9^n/n),n,1,10);% (a)
vpa(Fa)
display('(b) for n=1:50')
Fb=symsum((0.9^n/n),n,1,50); % (b)
vpa(Fb)
display('(c) for n=1:100')
Fc=symsum((0.9^n/n),n,1,100); % (c)
vpa(Fc)
display('ln(10) value is:')
log(10)

Result of the MATLAB CODE:

>> lnx (a) for n=1:10 ans = 2.1187475948314285714285714285714 (b) for n=1:50 ans = 2.3017962525010716565470942064098 (c) for n=1:100 ans = 2.3025829056390605320055978980756 in (10) value is: ans 2.3026 >>