Start with
= =
The first 2 terms of this are
so you missed a negative sign. Not bad!
The problem is as follows - Find the MacLaurin polynomial of degree 7 for
and use this polynomial to estimate the value of
the polynomial I got is and apparently it is correct, but the estimate gives me 0.238301997 and it is not correct,
do I skip a step in solving this equation or what?
thanks for help,
dokrbb
The problem is as follows - Find the MacLaurin polynomial of degree 7 for
and use this polynomial to estimate the value of
the polynomial I got is and when I use it to calculate
I get something like 0.238301997
basically I need to answer to 2 questions: #1 - what is the polynomial and I have this which is correct according to the answers; and #1 - use this polynomial to estimate the value of which I use by calculating , which gives me 0.238301997 and is not correct,
or, wait a minute, it would give me
right?
I get -0.238302 and looking at this I realized I lost a minus sign not you. It was in the step where we did the integral. The correct result is negative the result I showed.
The correct coeficients polynomial is 2/3 x^{3} - 4/21 x^{7 }
and so the correct answer is 0.238302.