Sequences Quiz - True or False

Sequences Quiz - True or False

True or False: If $\lim_{n \to \infty} a_n = \infty$ and $\lim_{n \to \infty} b_n = L$ where $L > 0$ then $\lim_{n \to \infty} a_nb_n = \infty$.
True or False: If $\lim_{n \to \infty} a_n = \infty$ and $\lim_{n \to \infty} b_n = -\infty$ then $\lim_{n \to \infty} a_n + b_n = 0$.
True or False: If $\lim_{n \to \infty} a_n = \infty$ and $\lim_{n \to \infty} b_n = -\infty$ then $\lim_{n \to \infty} a_nb_n = -\infty$
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