I want to show that
lim as a goes to 0, of the integral from a to Pi of sin (nx)/ nx dx= integral from 0 to Pi
of f_n(x) dx, where f_n(x) = 1 when x=0 and f_n(x) = sin( nx)/nx when x does not equal zero.
This is equivalent to showing that for |a|<delta, we can find integral from a to Pi of sin (nx)/ nx dx - integral from 0 to Pi of f_n(x) dx|< epsilon© BrainMass Inc. brainmass.com December 16, 2022, 3:35 am ad1c9bdddf
Reimann integrability using analysis is demonstrated.