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M4: Taylor Series (a) If f(x) = > =(x+2), compute # f(x) and [ f(x) dr. (b) Using series we already know, write down a
M4: Taylor Series (a) If f(x) = > =(x+2)", compute # f(x) and [ f(x) dr. (b) Using series we already know, write down a formula for the (infinite) Taylor series for (1 + 3x)2/3, and then write down the degree-three polynomial explicitly. 2 (c) Find an upper bound for the error if you use Ta(x) = 1 - = + to approximate g(x) = In(1 + x) at 1 = .5
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