LIM (X & # 178; Y / x ^ 4 + Y & # 178;) (x, y) tends to (0,0)

LIM (X & # 178; Y / x ^ 4 + Y & # 178;) (x, y) tends to (0,0)

There is no limit
Let y = KX & #, K be a constant
Then the original formula = Lim X & # 178; · KX & # 178; / (x ^ 4 + K & # 178; X ^ 4)
=k/(1+k²)
It will change with the change of K value, so it does not conform to the definition of limit existence
So there is no limit

lim(x→0）sin（sinx)/x

Sin (SiNx) / x = sin (SiNx) / SiNx × SiNx / X when XX → 0 = 1

lim(sin(x+1)^1/2-sinx^1/2)
X-infinity

Sum difference product
sin(x+1)^1/2-sinx^1/2
=2cos{[√(x+1)+√x]/2}sin{[√(x+1)-√x]/2}
=2cos{[√(x+1)+√x]/2} sin{1/(2[√(x+1)+√x])}
Because X - > ∞, then 1 / (2 [√ (x + 1) + x]) - > 0, sin {1 / (2 [√ (x + 1) + x]) - > 0
And cos {[√ (x + 1) + √ x] / 2} is a finite value
So sin (x + 1) ^ 1 / 2-sinx ^ 1 / 2 = 2cos {[√ (x + 1) + √ x] / 2} sin {1 / (2 [√ (x + 1) + √ x])} - > 0
So, the original limit = 0

3 cubic meters 300 cubic decimeters is equal to how many cubic decimeters filling fraction

It is equal to (1 / 3300) cubic decimeter

Is the sum of two monomials a polynomial?
Take two examples

No, if it's similar, it won't be after merging!

How to use Green's formula to calculate the area of plane figure enclosed by Cartesian leaf line x ^ 3 + y ^ 3 = 3axy (a > 0)?

Let Y / x = t, substitute x ^ 3 (1 + T ^ 3) = 3ax ^ 2T, then x = 3At / (1 + T ^ 3), y = 3At ^ 2 / (1 + T ^ 3), t is in [0, infinity], then the area is integral (from 0 to infinity) 3At / (1 + T ^ 3) d (3At ^ 2) / (1 + T ^ 3) / (1 + T ^ 3)

The density of two objects is density a and density B respectively. The alloy density of two objects of the same volume is, and the alloy density of two objects of the same mass is

Suppose that the densities of two substances are "d a" and "D B" respectively. When making alloys, the same volume is V and the same mass is m. according to the title, the density of alloys made in the same volume is: D body = (d a * V + D B * V) / (V + V) = V (d a + D B) / 2V = (d a + D B) / 2

Simple calculation 9.99 / 2.1 * 8.4 / 39 / 1.11 * 3.9

9.99/2.1*8.4/39/1.11*3.9
=(9.99/1.11)*(8.4/2.1)*(3.9/2.1)
=9*4*3
=108

A straight line passing through the focus of the parabola y ^ 2 = 2px intersects the parabola at two points a (x1, Y1) B (X2, Y2)

So AB = AF + BF = distance from a to directrix + distance from B to directrix = X1 + P / 2 + x2 + P / 2 = X1 + x2 + P prove: let the straight line passing through the focus of parabola y ^ 2 = 2px be y = K (X-P / 2) substituted into y ^ 2

Which is larger than the volume of a cylinder, cube, or cuboid with the same base and height?
Please explain the reasoning process

Wait for the bottom
---The bottom areas are equal,
It means that the area and height of the bottom are equal, so the volume is equal
---The perimeter of the bottom surface is equal,
If the area of the circular surface is large and the height is equal, the volume of the cylinder is large