Answer:
e. Repeated applications of L'Hopital Rule result in the original limit or the limit of the reciprocal of the function.
Step-by-step explanation:
= ∞/√(∞² + 6)= ∞/∞
Using L'Hopital's Rule,
= = √(∞² + 6)/ ∞ = ∞/∞
Applying L'Hopital's rule again, we have
∞/√(∞² + 6)= ∞/∞
Applying L'Hopital's rule again, we have
= = √(∞² + 6)/ ∞ = ∞/∞
Applying L'Hopital's rule again, we have
∞/√(∞² + 6)= ∞/∞
So, we see that repeated applications of L'Hopital Rule result in the original limit or the limit of the reciprocal of the function.
So, e is the answer.
5 is adjacent (just means next to)
Answer:
Step-by-step explanation:
Here a= 20, r = -1/2
Here, the absolute value of r is 1/2 which is less than 1. So, the series converges.
The sum of an infinite geometric series is given by
S =
Substituting the values in the above equation, we have
∴ The sum of the given infinite series is 40/3