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The second-order Taylor polynomial fort he functions f(x)=x√x about X0= 1 is P2= -1/2+3x/2+3(x-1)^2/8 using the...

The second-order Taylor polynomial fort he functions f(x)=x√x about X0= 1 is P2= -1/2+3x/2+3(x-1)^2/8 using the given Taylor polynomial approximate f(1.05) with 2 digits rounding and the find the relative error of the obtained value (Note f(0.05=1.0759). write down the answer and all the calculations steps in the text filed.

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Answer #1

Given:

Centered at, .

Second degree Taylor polynomial.

Taylor series:

Substitute the values.

Substitute x =1.05 in second degree.

Substitute x =1.05 in f(x).

.

Relative error:

Relative error Percentage = .

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