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What are the limits of a function f of x where a and b are constants satisfying a less than x less than b?
EMksA
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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∙ 12y ago
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