The unit staircase function is defined as follows: f .t /
Chapter , Problem 39(choose chapter or problem)
The unit staircase function is defined as follows: f .t / D n if n 1 5 t < n; n D 1; 2; 3; : : : (a) Sketch the graph of f to see why its name is appropriate. (b) Show that f .t / D X1 nD0 u.t n/ for all t = 0. (c) Assume that the Laplace transform of the infinite series in part (b) can be taken termwise (it can). Apply the geometric series to obtain the result ff .t /g D 1 s.1 es / : 40
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