: + п For each n € N, define fn -1,1) + R by fn(x) = V x2 a) Prove that (fr) converges uniformly to f(x) = |x|. b) Prove that fn is differentiable and find fra c) Find the function g:(-1,1) + R such that (fr) converges pointwise to g. Prove that (fr) does not converge uniformly to g. →
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-1,1) + R by fn(x) = V x2 a) Prove that (fr) converges uniformly to f(x) = |x|. b) Prove that fn is differentiable and find fra c) Find the function g:(-1,1) + R such that (fr) converges pointwise to g. Prove that (fr) does not converge uniformly to g. →