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what is sup and inf?
can anyone else be able to find out the pattern of this series is please?
thank you very much ricky, this is very clear and i understand it
is anyone able to do the integration and ignore the limit, i.e. just add a constant in the end.
the question is like what ganesh wrote, this is the question i meant to post but i couldn't type it probably.x shouldn't be same as t, should be independent of t. i think the question want me to do the integration, and then put 2x and x in as the answer, and then limit x->0.
evaluate the limit
lim(x->0)∫(integrate from 2x to x) [(sint t)^m/t^n] dt
where n,m are positive integers.
hope you can read the quation.
Show that a chair with four equal legs can be positioned so that all its legs are in contact with the floor.
this question is not an easy question, you cannot just say without four equal legs, the chait will fall. but instead, you have to do this questions in a mathematical way.
The integers 1,2,...,n are arranged in order a1,a2,...an, so that each term ak is either larger than all aj with j<k or else it is smaller than all aj with j<k. For example, the order 3,2,4,1 satisfies these conditions for n=4.
In how many different way can this be done?
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