Let d T (t t 0 ) denote a narrow pulse of width T and height 1 T, which starts at t t 0 Consider a function f (t) which is continuous between t 0 and t 0 T as shown in Fig 6 11(a) Find the limit of integral I in (33) when T approaches zero T B to 10 T dr(t to) f(t) t...

00 1 00 dy tto dttft dt 1T 10 to t to T elsewhere 33 Substituting d ...

Let d T (t t 0 ) denote a narrow pulse of width T and height

Question:

Let d_T (t − t₀) denote a narrow pulse of width T and height 1/T, which starts at t = t₀. Consider a function f (t) which is continuous between t₀ and t₀ + T as shown in Fig. 6-11(a). Find the limit of integral I in (33) when T approaches zero. # -T- B lo 10+ T dr(t-to) -f(t) t 00 1 = -00 d.(t-to)f(t) dt [1/T dy (t-to) = Lo to < t