• Exercise 2 Assuming that i) the sequence of functions {f„(x), x € [0, 2)} converges to f(x) in L2[0, 2). ii) the sequence of functions {g.(x), x € [(0, 2)}, converges to g(x) in L2[0, 2), prove that lim dx: You can only use without proof that: i) The Cauchy-Schwarz inequality holds. ii) A convergent sequence is bounded.

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A: Thank you   2nd Question alternative Explanation:(2Q) Behavior of the function g(x)=x2sin(x21​)…

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