What is LIM (x → 0) 2x + △ x? Why?

What is LIM (x → 0) 2x + △ x? Why?

If △ x is defined as a small increment of X, then lim2x + △ x = 0
If △ X represents the general quantity, then lim2x + △ x = △ X

Fill in the missing terms of the following polynomials and arrange them in ascending order of X
(1) The fourth power of - X - 3 / 2 (2) - 1 / 2 times the square of X + the fifth power of 0.2x - 0.3 times the fourth power of X - 3 / 10

Write clearly, I can't understand

It is calculated by simple method
What's the number?

5 of 8 and 7 + 3 of 8 and 13 + 5 of 4 and 26
=8.7 5 + (8.26 6 + 4.26 5)
=8 5 / 7 + 12 11 / 26
=130 out of 8 and 182 + 77 out of 12 and 182
=207 out of 20
=21 and 25 / 182

Y '= x + 1-y to solve differential equation

y'+y=x+1 (1)
The corresponding homogeneous equation is:
y'+y=0 (2)
(2) The characteristic equation is as follows
s+1=0 (3)
Characteristic root: S = - 1
(2) The best way
y1=ce^(-x) (4)
(1) Y * = x (5)
Finally, the general solution of equation (1) is as follows:
y(x) = ce^(-x)+x (6)
The integral constant C is determined by the initial condition

Given the inequality system (2x-30 (3x + 2) ≤ 0, x-a > 0, there is no real number solution, find the value range of real number a
Given that the system of inequalities (2x-3) (3x + 2) ≤ 0, x-a > 0, there is no real number solution, find the value range of real number a

According to the meaning of the title:
(2x-3)(3x+2)≤0
The solution is - 2 / 3 ≤ x ≤ 3 / 2
x-a>0
The solution is x > a
In order to make the original equations have no real solution
A ≥ 3 / 2 is enough (it is obvious from the drawing of the number axis)

Multiplication with two zeros
Two multipliers with zeros at the end
two hundred and thirty
×420
———

230
×420
－－－－
sixty-four
ninety-two
－－－－
98400

Find the limit of xsin / x + ly / xsinx when x tends to infinity

If the title is
x（sinЛ/x） + （Л/x）*sinx
Using important limits
lim(x->0)(sinx)/x=1
lim(x->∞)(sinx)/x=0
Then the limit of the original formula = pi * [sin (PI / x)] / (PI / x) + pi * (SiNx) / X
=pi+0=pi
If the title is
x（sinЛ/x） + Л/（x*sinx）
Using important limits and conclusions
lim(x->0)(sinx)/x=1
Conclusion: bounded quantity has no infinite quantity or infinite quantity
Then the limit of the original formula = pi * [sin (PI / x)] / (PI / x) + pi / (x * SiNx)
=pi+pi/∞=pi+0=pi

2x(7x-4x)=18
xixi
\

2x(7x-4x)=18
3x=9
x=3

If there are n terms in the arithmetic sequence, the sum is 210, and the sum of the first four terms is 156, find the number of terms n

156 / 4 = 39, 39 is the middle number of the first four terms
The sum of the last n-4 terms is 210-156 = 5
If n-4 > = 2, then 40 plus 40 is more than 50
If n-4

Limit problem: when x tends to positive infinity, what is the sum of (sin radical x) / (radical x)?
It's said in the information book that it's equal to 1.. but I don't understand it at all. Please explain it in detail. Thank you very much~