I don't know, I started from the definition of uniform convergence and it seems pretty obvious to me , can anybody start me at least towards right direction?
||e_i+1|| <= ||e_i||+h||f( (t_i+t_i+1)/2, y_i+y_i+1)/2)-f((t_i+t_i+1)/2, y(t_i+t_i+1)/2))||+O(h^3).
I need help about this question.if anybody able to guide me , I be thankful .
Thanks for reply,I am sure that point of discontinuity is zero here and, I know about upper and lower sum .. I don't know how to choose the right partitions. I wish, I could.. In fact, I really don't know how to prove that something is Remiann integrable
Let g:[0,1]--[0,1] be defined by g(x)=1 for x belongs to (0,1] and g(0)=0. Prove that g belongs to R[0,1]?
and evaluate integral of g with lower limit 0 and upper limit 1.. I will really appreciate the ansawer. thanks