Question

Why limit t tends to infinty f(t)e^-t is zero when f(t) tends to zero at infinity?

Answer 1

Answer:

The limit as t approaches infinity of e^-t = 0 because e^-t can be written as 1/e^t, and as you increase e^1 the number gets bigger and bigger, and if you divide 1 by a huge number the answer approaches zero.

Step-by-step explanation:

The graph of e^-t is attached, as you can see when you approach infinity the limit approaches zero.