![f: [a,b] to R be a continous function s.t. f(a)<c<f(b) then x belongs to (a,b) s.t. f(x) = c | Limit and Continuity | continuity and connectedness | Real Analysis](https://omgmaths.com/wp-content/uploads/2021/03/U1c3X62dBKs-maxresdefault-440x264.jpg)
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Sequence in metric space theorem
Subsequence of a sequence in compact metric space converges to a point of X.
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