Consider the ratio where n is even. It is known that if = 100 then 12.5645 and if = 400 then 25.0820. (a) The commands below will, in theory, compute . Try them and show that they work if = 100...

Consider the ratio

where n is even. It is known that if

= 100 then


12.5645 and if

= 400 then


25.0820.

(a) The commands below will, in theory, compute
. Try them and show that they work if

= 100 but not if

= 400 (for the latter, the first line must be changed). Explain why this happens.

(b) How can

be rewritten so MATLAB can be used to calculate

when

= 400? Prove it works by computing the result with MATLAB. Also, compute

for

= 4,000,000.