MAT137Y1 Final: MAT137Y1 - Final
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MAT137Y1 Full Course Notes
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Let f and g be functions such that limx a f (x) = limx a g(x) = 0 for some real number a. limx a g(x) = 0 = g approaches 0 faster than f as x a f (x) Now we want to de ne the saying "f is a good approximation g". Essentially, we want to measure how good the approximation is. Let f and g be functions such that limx a f (x) = limx a g(x) = 0 for some real number a. Note: the bigger n is, the more closely g approximate f (near a): = 0 = g is a good approximation of order n for f near a. f ( x x g a n. Finally, we can de ne a taylor polynomial as the "least complex" polynomial that does this approxima- tion.
