By: Neil E. Cotter

Laplace transform

 

 

Initial/final value thms

 

 

Example 2

 

 

 

 
 
 

 

Ex:           Find

Sol'n:      Apply the final value theorem:

We first factor out the highest power of s from the numerator and denominator and cancel out as many powers of s as possible:

If there are pure powers of s remaining in the numerator or denominator, we may immediately conclude that the answer is zero or infinity, respectively.

Otherwise, as in the present case, we proceed to substitute s = 0 in the numerator and denominator to obtain our final result: