I suppose the integral could be

In that case, since
as
, we know
. We also have
, so the integral is approach +1 from below. This tells us that, by comparison,

and the latter integral is convergent, so this integral must converge.
To find its value, let
, so that
. Then the integral is equal to
![\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F7%7D%5E0e%5Eu%5C%2C%5Cmathrm%20du%3De%5E0-e%5E%7B-1%2F7%7D%3D1-%5Cfrac1%7B%5Csqrt%5B7%5D%7Be%7D%7D)
Hi there!
We are given the function -

and are told to find the limit of the function.
The limit would be n approaches infinity, giving us an answer of
-1.
Here is how you solve this:

Divide by (n + 1)! -

Now, we can refine the function -

Now, just simplify. This gives us -

We can use the rule

to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is
-1. Hope this helped and have a great day!
Answer:
8/9
Step-by-step explanation:
Find what fraction of their goal they have raised by adding the amounts from last year and this year together:
7/9 + 1/9
= 8/9
So, they have raised 8/9 of their goal
Answer:
The answer is c
Step-by-step explanation:
This is because you subtract 6 to get 9 ≤ -3x then when you divide to get x by itself, then the sign has to flip so you end up with -3≥x. And when you put it on a numbers line the arrow or way it goes is the way the arrow is pointing, so if the sign is like this > it would go to the right on the number line and the converse is true as well please give me brainliest.