angeliquesamuel96621 angeliquesamuel96621
  • 21-05-2020
  • Mathematics
contestada

Evaluate the limit. lim n > [infinity] 9n^3 +5n - 2n/ 2n^3

Respuesta :

joaobezerra joaobezerra
  • 25-05-2020

Answer:

The value of the limit is [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

When we are working with limits in which the variable goes to infinity, we only take the highest order factor of the numerator and of the denominator.

So we have

[tex]$\lim_{t \to +\infty} \frac{9n^{3}}{2n^{3}}$[/tex]

We can simplify the cubes.

[tex]$\lim_{t \to +\infty} \frac{9}{2}$[/tex]

The limit of a constant is the proper constant.

So the value of the limit is [tex]\frac{9}{2}[/tex]

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