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TobyBartels comments on "Intermediate value theorem" (44213)
https://nforum.ncatlab.org/discussion/442/?Focus=44213#Comment_44213
https://nforum.ncatlab.org/discussion/442/?Focus=44213#Comment_44213Sat, 28 Dec 2013 13:52:32 -0500TobyBartels

Right, and more specifically we can construct a $c$ whose value is as close as we like (within $\epsilon$) of our desired value.

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Colin Tan comments on "Intermediate value theorem" (44179)
https://nforum.ncatlab.org/discussion/442/?Focus=44179#Comment_44179
https://nforum.ncatlab.org/discussion/442/?Focus=44179#Comment_44179Thu, 26 Dec 2013 13:56:30 -0500Colin Tan
I notice that Theorem 2 already implies that there some c of the unit interval such that f(c) is strictly between -1 and 1. Although we may not be able to construct all values between -1 and 1 to lie in the image of f, at least we can construct one value.
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TobyBartels comments on "Intermediate value theorem" (2864)
https://nforum.ncatlab.org/discussion/442/?Focus=2864#Comment_2864
https://nforum.ncatlab.org/discussion/442/?Focus=2864#Comment_2864Wed, 25 Nov 2009 10:38:00 -0500TobyBartels