find_the_fun
- 147
- 0
In this video of Laplace transforms the equation $$\lim_{t \to \infty}\frac{te^{-st}}{-s}$$ is said to be 0. I'm not sure I agree with the reasoning. It says it's because $$e^t$$ grows faster than $$t$$; can you treat infinity like that? For example could you say $$\lim_{x \to \infty}\frac{x}{x^2}=0$$? I thought it was undefined because obviously $$\frac{infty}{infty}$$ is undefined.
Last edited: