# How do you find the limit lim 3^t-2^t as t->oo?

Oct 13, 2017

There is no limit as $t \to \infty$, the equation will continue to approach $\infty$ as $t \to \infty$
You know that you are taking one exponential growth from another. However, the smaller one is being taken away from the bigger one. Also, the gap between ${3}^{t}$ and ${2}^{t}$ will continue to get greater and greater.
The equation would plot the value for this gap against $t$, and as one is growing faster than the other, the line will move further and further away from 0.