- #1

ver_mathstats

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- Homework Statement
- Approximate 1/99 to four decimal places using the linearization L(x) of f(x)=1/x at a=100 and use a calculator to compute the percentage error.

- Relevant Equations
- L(x) of f(x)=1/x

I found the linearization, L(x) = -0.0001x+0.2 and I found L(1/99) = 0.0199989899.

Then I tried to put that value into my percentage error formula along with 1/99 and got:

the absolute value of (1/99)-L(1/99) and then we divide that by our actual value which is 1/99, then I multiply everything by 100.

I got the answer 97.99% and I got this wrong, but I am unsure of where I went wrong and how to fix my mistake.

Thank you.

Then I tried to put that value into my percentage error formula along with 1/99 and got:

the absolute value of (1/99)-L(1/99) and then we divide that by our actual value which is 1/99, then I multiply everything by 100.

I got the answer 97.99% and I got this wrong, but I am unsure of where I went wrong and how to fix my mistake.

Thank you.