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!
Complete question :
A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
Answer:
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Step-by-step explanation:
Let :
Length of first piece = x
Length of second = 2x
Length of third = 3x
The total lengtb of board = 48 inches
Hence,
First + second + third = 48
x + 2x + 3x = 48
6x = 48
x = 48 / 6
x = 8
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
The probably of this happening is 1/169
To find the area of a circle.
We first need the radius.
This is quite simple, the radius is half of the diameter
Knowing the diameter is 14
14 divided by 2 = 7.
Now for a circle here is the equation
A = Area
A = <span>π r ^2
</span>
So we have the radius being 7 but now it needs to be squared.
7 x 7 = 49.
So now our equation is.
A = <span>π 49 ^2 (Keep in mind ^2 is just squared)
</span>
Now this is the answer but we can get more technical by multiplying 49 times <span>π
</span>
Now <span>π equals roughly 3.14
</span>
So we can do 49 x 3.14 cm
Which this equals 153.86
Which rounding to the nearest tenth gets you:
153.9 cm is your area
I really do hope this helps!
Brainliest is always appreciated if you feel its deserved!
P.S. If you still struggle with this here is a link that helped me out a lot with this subject when i was learning it :))
https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/area-circumference-circle/v/...
