Question

A more "mathematical" way of showing this limit ->0
lim -e^(-t)*t^a, as t->infinity

Answer 1

\[\lim_{t \rightarrow \infty}-e^{-t}t^a\] for a being any constant
Rather than just saying the exponential term dominates?

Answer 2

Is it like you could apply L'Hopital's rule a times until the derivative of the numerator becomes a constant.. then it's clear it becomes 0? I'm supposed to make a mathematical argument than just comparing terms