Question: n + cos nr fn(1) = HP TA 2n + 1 (i) Guess the pointwise limit of f,, and justify your answer. (ii) Is the

n + cos nr fn(1) = HP TA 2n + 1 (i) Guess the pointwise limit of f,, and justify your answer. (ii) Is the convergence in (a) uniform? Justify your claim. Prove that, if each f,, is continuous for all n E N and f,, converges to f uniformly, then f is also continuous

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