The unit staircase function is defined as follows:

(a) Sketch the graph of f to see why its name is appropriate.

(b) Show that

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

Transcribed Image Text:

f(t) = n if n-1≤t