In this video I go over a simple corollary theorem which is a direct result of the continuity theorem which I went over in my earlier video (video link below). This theorem states that if F, G, and Q are polynomials such that F(x) / Q(x) = G(x) / Q(x) then F = G for all x values even though F/Q is not defined for Q(x) = 0. This is a simple yet important theorem as it simplifies solving the coefficients during partial fraction decomposition.
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View Video Notes on Steemit: https://steemit.com/mathematics/@mes/corollary-of-continuity-theorem-proof
Related Videos:
Integration by Partial Fractions: Example 2:
Continuity and Open and Closed Intervals:
Partial Fraction Decomposition: General Techniques: .
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I don't always prove math theorems but when I do they are usually a direct corollary to another theorem ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/corollary-of-continuity-theorem-proof
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