Sia

Here's a similar student math question without an answer:

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how do we evaluate the following limits?

(a) $\lim_{n \rightarrow \infty} \left(\frac{3n + 4}{n}\right)^{3n}$

(b) $\lim_{n \rightarrow \infty} \frac{5^n + \cos(10n)}{8n! + 12}$

(c) $\lim_{n \rightarrow \infty} \tan^2\left(\frac{1}{n}\right) e^{\sin\left(n^3 + n\right)}$

End of assignment.