Initial value theorem

It determines the value of the time function when t=0 without finding the inverse transform.

$\displaystyle \lim_{t\to 0}\times (t)= \lim_{s\to\infty} s \times(s)$

Final value theorem

It determines the value i.e. steady state value of the system response without finding the inverse transform.

$\displaystyle\lim_{t\to \infty} \times (t) = \lim_{s\to 0}s \times(s)$