Let ρ(x) be a continuous function on ℝ, which evaluates ρ(x)=0 when |x|≥1 and that meets following.
∫[-1,1]ρ(x)dx=1
And let ψ(x) be a continuous function on interval [-1,1], prove
lim[n→∞] n∫[-1,1]ρ(nx)ψ(x)dx = ψ(0).
is denoted.
This is NOT a homework but a past exam problem of...