Although sums behave like integrals, because of the discrete nature of sums one needs to be careful

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Although sums behave like integrals, because of the discrete nature of sums one needs to be careful with the upper and lower limits more than in the integral case. To illustrate this consider the separation of an integral into two integrals and compare it with the separation of a sum into two sums. For the integral we have that

0.5 tdt tdt + tdt 0. 0.5

Show that this true by computing the three integrals. Then consider the sum

find this sum and determine which of the following is equal to this sum

Use symbolic MATLAB function symsum to verify your results.

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