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Ainat [17]
3 years ago
6

Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2

Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer:

b. 0

Step-by-step explanation:

The expression can be rewritten as:

A_{n} = \frac{5\cdot n}{n^{2}} + \frac{(-1)^{n}}{n^{2}}

As n becomes greater and begins diverging to infinity, each component of the sum converges to zero. Then, the limit of the sequence is zero.

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