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Mathematics 21 Online
OpenStudy (anonymous):

Does upper limit has to be greater than lower limit?

OpenStudy (anonymous):

OpenStudy (anonymous):

Please see the picture. if N can be smaller than 1, then this equation could have a value bigger than 1

OpenStudy (mathmale):

In this type of problem, the upper limit (N) will generally be greater than the lower limit of integration (1). is that what you were asking?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

But to be critical, the lower limit can be greater than upper right?

OpenStudy (mathmale):

Probably not in this particular type of problem, but in general, in definite integrals, the lower limit can certainly be greater than the upper limit. A special rule applies here. You can reverse the order of operation if you'll also put a negative sign in front of the resulting definite integral.

OpenStudy (anonymous):

Yes I tried to say if N is smaller than 1. I get -1/N -1 is smaller than 1. It is true both when N is positive and negative

OpenStudy (anonymous):

But the answer didn't prove when N is smaller, it just proved that when N is greater than lower limit.

OpenStudy (anonymous):

...This is silly

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