Limx tends to infinity x ^ 2 + 2X-4 / x ^ 3-x ^ 2

Limx tends to infinity x ^ 2 + 2X-4 / x ^ 3-x ^ 2

Using l'Hopital's law, we can get the upper and lower derivatives at the same time and then get the limit twice
lim2/(6x-2)=o

Seeking limit (x - > infinity) [(2x + 3) / (2x + 1)] ^ (x + 1)

Limit (x →∞) [(2x + 3) / (2x + 1)] ^ (x + 1)
=lim （x→∞）［1+2/（2x+1）］^(x+1)
=lim(x→∞)［1+1/(x+1/2)］^(x+1)
=lim(x→∞)［1+1/(x+1/2)］^(x+1/2)*[1+1/(x+1/2)]^(1/2)
=e*(1+0)^(1/2)
=e

How much is the solution of the equation 15 out of 14 minus 2x equal to 6 out of 7?

2x=15／14-6／7 x=3／7

Mathematics in grade two of junior high school

X & # 179; - x refers to the common factor method,
= x ( x² -1 )
= x ( x+1 ) ( x-1)
Benefactor, I see your bones are strange,
He is a man of noble bearing and wisdom,
He is a unique talent in the Wulin
If you devote yourself to study, you will become a great tool in the future,
I have a little test, please click next to the answer
"Choose as satisfactory answer"

In the first group, 6 people planted 15 trees; in the second group, 8 people planted 18 trees; in the third group, 5 people planted 14 trees. Which group planted 15 trees on average

The first group planted trees on average
15 △ 6 = 2.5 (trees)
The second group planted trees on average
18 △ 8 = 2.25 (trees)
The third group planted trees on average
14 △ 5 = 2.8 (trees)
So the third group planted more trees per person

Can there be any other letters in "expressed by an algebraic expression containing X"?
Eg. the length of one side of the triangle is a, and the other side is B. please use an algebraic expression containing x to express the length of the third side
(this is just an example for me, no need to ask) so, can the length of the third side contain a?

Yes, letters can be used as variables as well as known constants
For example, Xiaomin earned a yuan the day before yesterday, B yuan yesterday and C yuan today. Xiaomin earned w yuan altogether
Then w = a + B + C

A beverage store sold 397 bottles, 403 bottles and 398 bottles of drinks in the first three days. How many bottles of drinks will be sold in the 30th day of this month?

(397 + 403 + 398) △ 3 × 30 = 1198 △ 3 × 30 ≈ 400 × 30 = 12000 (bottles) a: about 12000 bottles of drinks will be sold in 30 days of this month

2 minus the square root of a plus a minus the square root of 3

2 minus the square root of a plus a minus the square root of 3
=2-√a²+a-√3²
=1-(±a)+a-(±3)
①=1+a+a+3=4+2a
②=1-a+a+3=4
③=1+a+a-3=2a-2
④=1-a+a-3=-2

The distance between a and B is 360 km. The passenger car and freight car start from a to B at the same time. The speed of the freight car is 60 km / h, and that of the passenger car is 40 km / h. after arriving at B, the freight car stops for 0.5 hours and returns to a at the same speed. If it meets the passenger car on the way, the distance from a station is ()
A. 300 km B. 280 km C. 320 km D. 276 km

Suppose the bus runs for X hours at the time of meeting. According to the meaning of the question, there is 60 (x-0.5) + 40x = 360 × 2, and the solution is x = 7.5, 40 × 7.5 = 300 (km). Answer: the distance from station a is 300 km at the time of meeting

If the square of the algebraic formula 2x + 3Y + + 7 = 8

Is the square of 2x + 3Y + 7 = 8? Do you have a plus sign?
If the square of 2x + 3Y + 7 = 8, then the square of 2x + 3Y = 1
The square of 2x + 3Y + 9 = 1 + 9 = 10