Homework Statement
(This is my first post and I'm not sure why the Tex code isn't working, sorry).Suppose fis a positive continuous function on [1,0] .For each natural numbern define a new functionF_n s.t.
F_n(x) = \int_0^1 t^ne^{xn}f(t)dt
(a) Prove that lim_{n\to\infty}F_n(x) = 0 for...