Is there a theorem that the limit of the quotient of two functions is equal to the limit of the quotient of the derivative of two functions

Is there a theorem that the limit of the quotient of two functions is equal to the limit of the quotient of the derivative of two functions


This is the law of Robida
F (x) / F (x) = f (x) '/ F (x) ` if f (x) and f (x) are close to zero



In the triangle ABC, ab = AC, B = 60 degrees, BC = 4cm, find the perimeter area of the triangle


AB = AC, B = 60 degrees, BC = 4cm
ABC is an equilateral triangle
The perimeter of the triangle is 4 × 3 = 12cm
∵ △ ABC is an equilateral triangle
Make high ad
AD=2√3
∴S△ABC=1/2×4×2√3=4√3



How to prove that a triangle whose sum of squares of two sides is equal to the square of the third side is a right triangle


Cosine theorem
cosC=(a²+b²-c²)/(2ab)
a. B and C are the three sides of a triangle
C is the diagonal of edge C
Then when a & sup2; + B & sup2; - C & sup2; = 0
cosC=0
That is, C = 90 degree



It is known that in △ ABC, ∠ C = 90 ° AB = radical 75, BC = radical 27, find the perimeter of triangle ABC


AC = root (75-27) = root 48
So C = 5 radical 3 + 3 radical 3 + 4 radical 3 = 12 radical 3



1. Try to compare the size of 2x & # 178; - 2x and X & # 178; - 2x
2. If the sum of three consecutive positive integers is not more than 12, find the three positive integers
3. If the solution of equation (a + 2) x = 2 is x = 2, find the solution set of inequality (a + 4) x > - 3
Use inequality


1
(2x^2-2x)-(x^2-2x)=x^2>=0
2x^2-2x>=x^2-2x
two
n-1>0
n-1+n+n+1



The shadow of a flagpole is 2.1 meters long. At the same time, a 15 meter bamboo pole is set on the ground. The shadow is 4.5 meters long. How high is the flagpole?


The height of the flagpole is x meters,
X/2.1=15/4.5
X = 7 m
A: the height of the flagpole is 7 meters



Find the rules, (), 2,3,6,5,10,7, () what should be filled in the brackets,


(1),2,3,6,5,10,7,(14)
(1),3,5,7
2,6,10,(14)



4(x-7)-3(5x+8)=1
How to write this equation


4(x-7)-3(5x+8)=1
4x-28-15x-24=1
15x-4x=-28-24-1
11x=-53
x=-53/11



The distance between lelejia and the park is 800 meters. On a plan, the distance is represented by a 4 cm long line. The scale of the plan is ()


1:20000



1. Calculate the fourth power of (a-b) / (B-A) & #=______ .
2. () / 7a & # 178; the third power of B = - the third power of 7a, the third power of B + the third power of 2A + 1


Because the square of (a-b) is equal to the square of (B-A), the fourth power of (a-b) / the square of (B-A) = the fourth power of (B-A) / the square of (B-A) = the square of (B-A)