Evaluate the limit, or state that

limit does not exist.

4n-6n/10n

The limit converges to - 1/5

Step-by-step explanation:

Plugging in infinity for n you will see that the limit will go to infinity/infinity so you have to apply L'Hopitals Rule

Doing so you find it will turn into the limit of (4-6) / 10 as n goes to infinity. This then simplifies to - 1/5