Answer
$\lim\limits_{x \to \infty}-1.5^{x}=-\infty$
Work Step by Step
Numerical Estimation:
For $t=5$; $-1.5^{5}\approx-7.59$
For $t=10$; $-1.5^{10}\approx-57.67$
For $t=20$; $-1.5^{20}\approx-3325.26$
For $t=40$; $-1.5^{40}\approx-11057332.32$