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Laplace Transform of $$e^{at}t^{n}$$ is
$$\frac{n}{(s - a)^{n + 1}}$$
$$\frac{n!}{(s + a)^{n + 1}}$$
$$\frac{n!}{(s - a)^{n + 1}}$$
$$\frac{1}{(s - a)^{n + 1}}$$
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