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Find the limit of the sequence described by the general expression 5n+ (-1) n /n^2
, or state that the limit does not exist.
a.1
b.0
c. 3
d. limit does not exist

Please select the best answer from the choices provided

Find the limit of the sequence described by the general expression 5n 1 n n2 or state that the limit does not exist a1 b0 c 3 d limit does not exist Please sel class=

Respuesta :

xero099

Answer:

b. 0

Step-by-step explanation:

The expression can be rewritten as:

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

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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