# Consider the following Laplace transforms of certain signals. For which of the following. final value theorem is not applicable?

Consider the following Laplace transforms of certain signals. For which of the following. final value theorem is not applicable?

### Right Answer is: (S + 1)/(S – 2)

#### SOLUTION

The final value theorem applies only if all the poles of X(s) are in the left half of the s-plane, with almost a single pole at s = 0.

From the given above option (S + 1)/(S – 2) is unstable as its poles lie on the right half of the s-plane therefore the final value theorem can not be applied.

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