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In what range should $\operatorname{Re}(s)$ remain so that the Laplace transform of the function $e^{(n+2)t+5}$ exits?

1. $\operatorname{Re}(s)>a+2$
2. $\operatorname{Re}(\mathrm{s})>a+7$
3. $\operatorname{Re}(s)<2$
4. $\operatorname{Re}(s)>a+5$