![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Taylor formula can be used to find the limit of indeterminate formula, but how many terms should be expanded when the function is expanded into Taylor formula
According to the actual situation, the general principle is that the denominator and the lowest power of the numerator are unified, and the last term of the expansion cannot be eliminated in the addition and subtraction operation
Mathematical experts to find the extreme value of the function z = x ^ 2-xy + y ^ 2-2x + Y! Hurry!
z=(x-y)^2+xy-2x+y
Because (X-Y) ^ 2 > = 0 when x = y, 0 + x ^ 2-x = x (x-1)
So the extremum of the original function z = x ^ 2-xy + y ^ 2-2x + y is 0,1
If the difference between the two numbers is 18, what are the two numbers?
The two numbers are 72 and 54 respectively. Let the greatest common divisor be a, then the least common multiple is 12a, because the two numbers a and B are B × A and C × a respectively. From the title, we know that B × C = 12, so ① B = 2, C = 6, ② B = 3, C = 4, ③ B = 1, C = 12
k1=1;k2=2;k3=3;x=15; if(!k1) x--；else if(k2) x=4
Else x = 3 find the value of X after running
The value of K1 is 1,! K1 is 0, 0 can be converted to false, not satisfied with if
The value of K2 is 2, which can be converted to true. If else is satisfied, then x = 4
English translation
Computer games are often exciting and great, but students don't learn as much from them as they would by simply reading a book!
From: from
They refer to computer games
As much as
Computer games are generally exciting and fun, but students can't learn as much from them as they simply read a book
To put it bluntly, students can't learn useful things from books from computer games
Let the parabola y = - x2 + 2mx + m + 2 intersect the negative half axis of X axis at point a, the positive half axis of X axis at point B, and the Y axis at point C. (1) find the value range of M. (2) the length of nob is three times that of OA, and find the value of M
(1) Draw a graph, we can see that the two roots of - x2 + 2mx + m + 2 = 0 are positive and negative,
That is, x1x2 = - (M + 2) - 2
(2) X 10
The length of ob is three times that of OA,
That is, | x2 | = 3 | x1 |, that is, X2 = - 3x1
For - x2 + 2mx + m + 2 = 0, we use the Weida theorem,
x1+x2=2m,x1x2=-（m+2）
By substituting x2 = - 3x1 into X1 + x2 = 2m,
x1=-m,x2=3m
And x1x2 = - (M + 2)
That is - 3M ^ 2 = - (M + 2)
The solution is m = 1 or M = - 2 / 3
If the solution set of inequality system x + 8 > 4x-a, X-B > 0 is - 3
The solution set is B
The curve represented by polar coordinate equation ρ 2cos2 θ = 1 is ()
A. Two intersecting lines B. circle C. ellipse D. hyperbola
The original polar coordinate equation ρ 2cos2 θ = 1 is transformed into: ρ 2 (Cos2 θ - sin2 θ) = 1, that is, x2-y2 = 1, which represents hyperbola, so D
（x+1）（x+2)+4/1
(x+1)((x+2)+1/4=x^2+2x+x+2+1/4
=x^2+3x+9/4
=(x+3/2)^2
The coordinates of the intersection point of the image of the linear function Y1 = - 2x + 3 and y2 = - 5x + 12 are____ , when____ When Y1 > Y2, when___ When Y1 < Y2
Intersect at (3, - 3)
When x is greater than 3, Y1 is larger,
When x is less than 3, Y2 is larger,
X is equal to 3
RELATED INFORMATIONS
- 1. Finding the extremum of function z = x square + XY + y square - 3x-6y
- 2. Finding the extremum of function f (x, y) = XY (3-x-y)
- 3. Finding the extremum of function f (x, y) = XY (x ^ 2 + y ^ 2-1) with higher numbers
- 4. The plane α. β. γ intersects each other, and the intersection line is ABC. A ‖ B
- 5. If a line is parallel to two intersecting planes, then the line is parallel to their intersecting lines
- 6. Four planes intersect two. How to prove that their intersection lines are parallel
- 7. Are univalent hyperbolas and bivalent hyperbolas formed by the rotation of hyperbolas on which axis?
- 8. Find the tangent and normal plane equation of the intersection of surface x ^ 2 + y ^ 2 = 1 / 2 * Z ^ 2 and plane x + y + Z = 2 at point (1, - 1,2)
- 9. How to find the projection of space surface on coordinate plane?
- 10. Is the surface of a cylinder or cone a plane or a curved surface?
- 11. F (x) = x / (x + 1), when x0 = 2, find its nth order Taylor formula
- 12. How did Taylor's formula come up with the idea of expressing approximate functions with multiple terms?
- 13. Postgraduate entrance examination number one is required to understand the second-order Taylor formula of binary function, so what degree do we need to understand? What kind of questions will be given?
- 14. Taylor expansion formula of common functions
- 15. Why is it that when x tends to infinity, the limit of fraction is 1 and the limit of denominator is 0, then the molecular limit is 0
- 16. Why can we calculate the limit when the denominator tends to zero Although by multiplying or dividing a number (both numerator and denominator) But in this case, is it still the original function?
- 17. It is known that the function f (x) defined on (0, positive infinity) belongs to (0, positive infinity) for any x, y, and f (XY) = f (x) + F (y), And when 0 < x < 1, f (x) > 0, judge the monotone interval of F (x) on (0, positive infinity)
- 18. Let f (x) be defined as R, and for X, y ∈ R, f (XY) = f (x) + F (y). If f (8) = 3, then f (2) = 1___ ．
- 19. If x ∈ R, f (x) satisfies f (XY) = f (x) + F (y), how to prove that f (x) is an even function?
- 20. Let f (x, y) = sin (x + y), then f (0, XY) = ()