Function in terms of Heaviside functions

WBahn

Joined Mar 31, 2012
29,932
Yes.

Look at the result and see if the answer makes sense. You should note that each time a term is turned on that the coefficient represents an amount by which the function immediately changes. Do those changes make sense when compared to the original function?

You also want to get in the habit of doing sanity checks to be more confident of your own work (or in checking the work of others). In this case an easy one is to check to be sure that the function works for t<<0 and t>>0. For t<<0 all of the step functions are turned off yielding zero and (since there are no surviving terms) for t>>0 all of the step functions are turned on, again yielding zero (because the sum of all the terms is zero).
 
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