T or F ONLY NEED F AND G (f) Let f : [a, b] → R be a strictly increasing function (so that r 0. Then there is a polynomial P such that for all r€ [a, b), |f (x) – P (x)|

T or F ONLY NEED F AND G
(f) Let f : [a, b] → R be a strictly increasing function (so that r < y =<br>f (r) < f (y)). Let e > 0. Then there is a polynomial P such that for all<br>r€ [a, b),<br>|f (x) – P (x)| < E.<br>(g) Let A be a non-empty connected subset of the Cantor set. Then A<br>consists of just a single point.<br>

Extracted text: (f) Let f : [a, b] → R be a strictly increasing function (so that r < y="f" (r)="">< f="" (y)).="" let="" e=""> 0. Then there is a polynomial P such that for all r€ [a, b), |f (x) – P (x)| < e.="" (g)="" let="" a="" be="" a="" non-empty="" connected="" subset="" of="" the="" cantor="" set.="" then="" a="" consists="" of="" just="" a="" single="">

Jun 03, 2022
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