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Let S be the set of real numbers p such ...

Let S be the set of real numbers p such that there is no nonzero continuous function `f: R to R` satisfying `int_(0)^(x) f(t) dt= p f(x)` for all `x in R`. Then S is

A

the empty set

B

the set of all rational numbers

C

the set of all irrational numbers

D

the whole set R.

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