Question: Using the first order Taylor series approximation find the fifth root of x = 208. Use as your starting point x_0 = 3s, (Numerical results

 Using the first order Taylor series approximation find the fifth root

Using the first order Taylor series approximation find the fifth root of x = 208. Use as your starting point x_0 = 3s, (Numerical results should have 6 decimal places.) i. When f (x) = x^1/5 the first derivative f'(x) =___ ii. Write the specific (in terms of the symbol x_0) first order Taylor Series expansion that you will be using for f (x) = x^1/5. iii. First Iteration. Result y = Work: ___ New x_0 = y^5 =___

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