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The limits appear to be f(a) and f(b), but we can't be sure because you haven't

told us anything about the function. I'm sure we could find an exception without

trying too hard.

OK ... here's one now:

f(x) = x2

a = -2

b = +3

-2 < x < +3

f(a) = (-2)2 = 4

f(b) = (+3)2 = 9

But the limits of f(x) are not 4 and 9, because f(0) = 0 .

I have a feeling that you can't make any general statement about the limits

of the function over any interval without knowing what the function is.

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