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What is a Riemann Sum used to define?
In mathematics, a Riemann sum is a summation of a large number of small partitions of a region. It may be used to define the integration operation. The method was named after German mathematician Bernhard Riemann.
Is the graph of two continuous function is always continue?
Well, it sounds like a plausible statement, and maybe it would be true . But we haveno idea what the graph of two functions is.Perhaps you could graph the sum of two functions, or the difference of two functions,or their product, or their quotient. We believe that if the original two functions areboth continuous, then their sum and difference would also be continuous, but theirproduct and their quotient might not necessarily be continuous. However, we stilldon't know what the "graph of two functions" is.
Are the sum of two periodic functions always periodic?
yes
What is the sum of 48 and 28?
That sum would be 76.
Is the infinite sum of continuous function continuous?
An infinite sum of continuous functions does not have to be continuous. For example, you should be able to construct a Fourier series that converges to a discontinuous function.
