we've been asked to find the L(f,Pn) of the function f(x)= sin(x) over the interval [0,a] where 0 ˂ a ≤ 1 and the partition of the interval into n subintervals of even length and find the lim [L(f,Pn)]
we are also given:
∑ sin(ix) = [[sin(x(n+1)/2)sin(nx/2)]/sin(x/2)]
Would really appreciate the help.
Originally Posted by Number Cruncher 20
If I understand your notation correctly, in this case:
which may be summed using the given:
Now hopefully evaluating this limit will give the required answer.