5.1.2

[STARTS AT 6:40]

Narrator: So the limit as x goes to infinity a 5x squared plus 1 over e to the x. Both are going to infinity. So we can apply L'Hospital's rule. 

Limit as x goes to infinity of 10x over e to the x. That does not help. So let's apply L'Hospital's rule again. That will be 10 over e to the x, which that limit is zero. So An goes to 0, it converges to zero. 

[ENDS AT 7:22]