Suppose that f : [a, b] R is continuous and that for all integers n >
Question:
for all integers n > 0.
a) Evaluate ˆ«ba P(x) f(x) dx for any polynomial P on R.
b) Prove that ˆ«ba|f(x)|2 dx = 0.
c) Show that f(x) = 0 for all x ˆˆ [a, b].
Transcribed Image Text:
x"f(x) dx=0
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a If then b By Exercise 1076d choose polynomials P N w...View the full answer
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