Pointwise convergence is the notion where a sequence of functions converges to a limit function at each individual point in the domain. That is, for every x in the domain, the. #1 for each n ∈ℕ, define fn(x) = (x^n)/(1 + x^n) with x ≥ 0.
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The process involves orthogonalizing a set of linearly independent vectors (in this case, polynomials) to obtain a set of orthogonal vectors. Then, we normalize these orthogonal. Find the limit function of the sequence of functions fn on ℝ+.
Justify whether or not there is uni…
