Function bounded at large values of t?

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using laplace I've calculated the output of my system as: $$-\frac1{104} \exp(-5t) + \frac18\exp(-t) +\frac1{26}(2\sin(t)-3\cos(t))$$ I've been told that this is bounded from above and below at large values of t. Why is this true at large values of t and what are the bounds?