The Laplace transform of the function i(t) is I (s) = 10s

The Laplace transform of the function i(t) is
I (s) = 10s + 4
s(s + 1)(s² + 4s + 5)

Its final value will be—

According to final value theorem,
_{t → ∞}lim I(t) = _{s → 0}lim sl/(s)
= lim s → 0 s(10s + 4) s(s + 1) (s2 + 4s + s)
= 4/5