1. Let f(x) = (1+x)^{2/3}(adsbygoogle = window.adsbygoogle || []).push({});

(a) find the taylor polynomial T_2(x) of f expanded about a = 0.

i got 1 + (1/3)x - (1/9)x^{2}

For the rest, i have no idea how to do...any help would be greatly appreciated.

(b) For the givven f write the lagrange remainder formula for the error term f(x) - T_2(x).

(c) Show that when x>0 the error f(x)-T_2(x) is at most (5/18)x^{3}. and

(d) Write a fraction that estimates (1.2)^{1/3}, and show that the error in your estimate is at most 1/2025.

Thanks for any help you can provide!

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# Taylor formula

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