1. Fix R € (0,1). Prove that ot" converges pointwise to f(t) = on S = [-R, R]. Hint: Fix RE (0, 1) and t = [-R, R]. Let sn(t) = tº + t² + ... + tn−¹. Prove that limn→∞o Sn (t) = ₁ by rewriting sn(t) as a certain fraction. ? Div RC (01) TT 1 TIL 100

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