Let

f

satisfy

f(t+T)=f(t)

for all

t>0

and for some fixed positive number

T

;

f

is said to be periodic with period

T

on

0

.\ Then, the Laplace transform of

f(t)

is given by\

L{f(t)}=(1)/(1-e^(-sT))\\\\int_0^T e^(-st)f(t)dt.

\ Use this fact to find the Laplace transform of the given function.\

f(t)={(1,0

\

L{f(t)}=

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