BC Theorems
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Last updated 9:29 PM on 5/10/26
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6 Terms
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How to prove continuity
f(c) = L
limits of x approaching c from both sides = L
f(x) continuous at c
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IVT
a function that is continuous on a closed interval [a,b], takes on every value between f(a) and f(b)
3
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Rolle’s Theorem
if f cont on [a,b] and differentiable on (a,b), such that f(a) = f(b), then there is at least one number c that f’(c) = 0
4
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MVT
if f is continuous on [a,b] and differentiable on (a,b), it contains a value f’(c) = [f(b) - f(a)] / [b - a]
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EVT
if f is continuous on [a,b] it contains a minimum and maximum
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