How do I find lim n → ∞ 3 n + n 3 2 n...

dream13rxs

dream13rxs

Answered

2022-07-02

How do I find
lim n 3 n + n 3 2 n n
by comparing it with other two sequences?

Answer & Explanation

toriannucz

toriannucz

Expert

2022-07-03Added 16 answers

You have
3 = 3 n n 3 n + n 3 2 n n 3 n + n 3 3 n n = 3 1 + n 3 n .
Since the limit of 1 + n 3 n is 1, you are done.

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