- #1

Sabricd

- 27

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I need help with this problem. I need to find the first three terms of the Taylor series for the function f(x)= (1 + x)^(1/3) to get an estimate for 1.06^(1/3).

Hence I did:

f(x)= (1 + x)^(1/3)

f'(x)= (1/3)(1 + x)^(-2/3)

f''(x)= (-2/9)(1 + x)^(-5/3)

f(a) + f'(x)/1! * (x - a) + f"(a)/2! * (x - a)^2

Now, I'm kind of stuck...Could I please have a hint on how to finish the problem.

Thank you,

-Sabrina