Answer:
To Prove:
is equal to the sum of its Maclaurin series.
Step-by-step explanation:
If
, then
for all n. If d is any positive number and |x| ≤ d, then
So Taylor's Inequality, with a = 0 and M =
, says that
Notice that the same constant
works for every value of n.
But, since
,
We have 
It follows from the Squeeze Theorem that
and therefore
for all values of x.

By this theorem above,
is equal to the sum of its Maclaurin series, that is,
for all x.
Answer:


Step-by-step explanation:
<u>Geometric Mean Theorem - Altitude Rule</u>
The <u>altitude</u> drawn from the vertex of the right angle perpendicular to the hypotenuse separates the <u>hypotenuse</u> into <u>two segments</u>. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

From inspection of the given diagram:
- altitude = FD = 9
- segment 1 = CD = 5
- segment 2 = DE =


Substitute the found value of x into the expression for DE:

75 fihbfdkhbskdj bidsh d9u dissregard that it had to be 20 characters sooooooooooo
Let x is the price for one ticket in section A and y for section B.
In first week they paid <span>$108 for 6 tickets in section A and 10 tickets in section B.
So,
6x + 10y = 108
And in t</span><span>he following week, they paid $104 for 4 tickets in section A and 12 tickets in section B.
So,
4x + 12y = 104
12y = 104 -4x
y= (104 -4x) /12
now, put this value for y in first equation
6x +10(104 - 4x / 12) = 108
multiplying all terms with 12
72x +10(104 -4x) = 1296
72x + 1040 -40x = 1296
32x = 256
x = 8
So, price for one ticket in section A is $8.
</span>
Answer:
E=(-1,3) F= (3,3) G=(-2,-1) H=(4,-1)
the shape is a trapizode