Understanding when it's OK to use limits arithmetic of multiplying – math.stackexchange.com

I'm having hard time understanding when I can do the following move: $\lim_{n\to \infty}a_n\cdot b_n = \lim_{n\to \infty}a_n\cdot\lim_{n\to \infty}b_n $ On one hand, my teacher said that I can do ...

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