MAT136H1 Lecture 33: Review
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MAT136H1 Full Course Notes
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C n a n = c 0 + c 1 a + c 2 a 2 + . (x. 1 ( (x+1)) = 1 ( + 1 + ( + 1 2 ( + 1 3. Suppose f(x) has a series expansion on (a r,a+r) f f (x) f f (a) (x) f . = c1 + 2 2 a + 3 3 a 2 + 4 4 a 3. = c 0 + c 1 a + c 2 a 2. = c c = 0 x 2 + 3. + 1 = x x 4 x 3 4. = 1 x 4 x 3 4 x 2 + 3. + 1! n f (a) n c n = n! = c 0 + c 1 a + c 2 a 2 + c 3 a 3. = f (a) f f n (a) (x) f f (x) = c 0 + c 1 + c 2 x x
