I need to construct a Taylor Series.

I already did my error bounding and found that I needed to use a 4th degree approximation.

Done, I have my answer.

But what do I type in? The instructions say "Estimate $e^{0.1}$ to 6 decimal places using a Taylor polynomial about 0. (That is, use error bounding to prove that your estimate is accurate to at least 6 decimal places. Enter your answer as a decimal.)"

I typed in 1.105170 and got it wrong.

My estimate gave me 1.105170833333333333... does it want me to enter in the 8 too or? I'm so confused please help thanks


closed as off-topic by Jack D'Aurizio, user91500, Claude Leibovici, Shaun, user223391 Feb 15 '17 at 18:44

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  • 1
    $\begingroup$ I think you've just rounded incorrectly. If you round 1.1051708 to 6 decimal places, you should get 1.105171. $\endgroup$ – Joshua Ruiter Feb 12 '17 at 20:55
  • $\begingroup$ but the millionths place is 0, im confused. or does it is asking to the nearest millionth? @JoshuaRuiter $\endgroup$ – Saketh Malyala Feb 12 '17 at 23:17
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    $\begingroup$ When you round a number to 6 decimal places, you look at the 7th decimal place. If the 7th decimal place is greater than 5, you round up the 6th decimal place. $\endgroup$ – Joshua Ruiter Feb 13 '17 at 1:28