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From my lecture slides, the error expansion for trapezoidal rule was stated as 1 (even powers of h only) but from the taylor series expansion of the exact and trapezoidal rule 2, I can't derive this result.Can anybody help me with the proof as simple as possible?

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closed as off-topic by Carlo Beenakker, Joe Silverman, Ben Barber, Pace Nielsen, Gerry Myerson Feb 11 at 20:51

This question appears to be off-topic. The users who voted to close gave these specific reasons:

  • "This question does not appear to be about research level mathematics within the scope defined in the help center." – Carlo Beenakker, Joe Silverman, Gerry Myerson
  • "MathOverflow is for mathematicians to ask each other questions about their research. See Math.StackExchange to ask general questions in mathematics." – Ben Barber, Pace Nielsen
If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Hi and Welcome to MO. This website is for research-level math, and not so much for homework assistance. I suggest that you (a) Put this sort of questions in math.stackexchange, and (b) Make the question more accessible - put the exact question in the text, make all notations in the text and not via screenshots from slides. $\endgroup$ – Amir Sagiv Feb 11 at 14:51
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    $\begingroup$ @AmirSagiv: I don't understand you: since this question will undoubtedly get closed (and automatically deleted) or migrated, as you yourself seem to suspect, why insist on editing its tags? It is incredible for me how many futureless edits are performed on MO! $\endgroup$ – Alex M. Feb 11 at 15:25
  • $\begingroup$ @AlexM. that's a good question. I think that (a) I'm not sure it'd be closed, and (b) it might be migrated "as is" to math.se. Am I wrong on both accounts? $\endgroup$ – Amir Sagiv Feb 11 at 18:47
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    $\begingroup$ @AmirSagiv: Migrated questions don't take their tags with them - they are given new tags on the receiving site. $\endgroup$ – Alex M. Feb 11 at 20:00
  • $\begingroup$ @AmirSagiv If this is research-level maths, then why has nobody been able to answer me ? I have posted on other forums as well, as well i've searched the internet :) $\endgroup$ – Yo G Feb 12 at 5:42