6. Suppose that f is a continuous real function. (a) If f01 f(x) dx = 1, prove...
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6. Suppose that f is a continuous real function.
(a) If f01 f(x) dx = 1, prove that 12 2 2 lim f(lx-1I)e x y+y dx=2.
Y-->O 0
(b) If f is C1 on Rand f; f'(x) sin x dx =
e, prove that e + lim r f(x) cos(y5 + flY + x) dx = 0.
y-->O 10
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