In the tenth a, a is a nonzero natural number; when a is (), it is an integer

In the tenth a, a is a nonzero natural number; when a is (), it is an integer


In the tenth a, a is a nonzero natural number; when a is (a multiple of 10), it is an integer



A multiple choice question about rational number, integer number and natural number
One of the following categories is wrong
A rational number is divided into negative rational number and non negative rational number
B positive integers are divided into even and odd numbers
C integers are divided into positive integers and non positive integers
D natural number is divided into 0 and positive integer


If you want to choose the wrong one, choose B, because even and odd numbers also include negative ones, so they are not separated from positive integers
It should be changed to: integer is divided into even number and odd number;
Or: positive integer is divided into positive even number and positive odd number
Go back upstairs, D is right



Whose is this dress?
Ask in clothes


These clothes belong to whom?



How many meters is a 4'8 bed?


One foot = 33 cm
One inch = 3.3cm
4 feet 8 inches = 158.4cm



The square of a number is four ninths
The square of a number equals 4 / 9. What is the number?
A cell divides from one to two every 20 minutes. After 2 hours, the cell divides from one to several?


x²=4/9
X = 2 / 3 or x = 2 / 3
Two hours, six, 20 minutes
The first 20 minutes is to the power of two
The second 20 minutes is the second power of two
……
The sixth 20 minutes is the sixth power of two
2 ^ 6 = 64
A: this cell divides from one to 64



What does the boy want to buy?
Active, urgent, urgent! 11


What does the boy want to buy?



It is proved that the product of three adjacent odd numbers must be divisible by 3


It is proved that: let three adjacent odd numbers be n-2, N, N + 2 (n is odd), P = (n-2) n (n + 2), if n = 3k, then p can be divisible by 3; if n = 3K + 1, then n + 2 is a multiple of 3, and P can be divisible by 3; if n = 3K + 2, then n-2 is a multiple of 3, and P can be divisible by 3. Therefore, the product of three adjacent odd numbers must be divisible by 3



Derivative of piecewise function
1,f(x)=
∏/4 + (x-1)/2 x>1
arctgx x=1
-∏/4 +(x+1)/2 x0,lim[(1+x)^(1/x)-e]/x=e lim[(1/x)ln(1+x)-1]/x
Why? After extracting e, it should be Elim {e ^ [(1 / x) ln (1 + x) - 1] - 1} / x?
3,f(x)=
(x^3)sin(1/x) x≠0
0 x=0
X - > 0 limf (x) = 0 = f (0), so it is continuous at x = 0, but
X - > - 0 limf (x) in x ^ 3 + 0 limf (x) in x ^ 3 > 0, it is obvious that the left and right limits are not equal, why are they still continuous?
PS: is the existence and equality of all limits a necessary and sufficient condition for a function to be continuous at that point?
Door, isn't that pie? It's all written in the computer
PS: is the existence and equality of limit a necessary and sufficient condition for the continuity of function at this point??
Another: the book says: F (x), G (x) are continuous on [a, b], and differentiable on (a, b), then f (x) = g (x), f '(x) = g' (x). This is why, for example, SiNx and cosx are also continuous and differentiable on the domain of definition,
But SiNx ≠ cosx


1. This step is to show that the function is continuous at x = 1
So we can extend the domain to 1
2. In a sense, it takes LN, that is to say, it becomes e ^ {Lim [(1 / x) ln (1 + x) - 1] - LNX}
3. First of all, f (0) does not exist. How can sin (1 / 0) know what number it is? So there is a problem with this question
p. Can the description be clearer? What is all limits?
——————————
If the left and right limits exist and are equal, the continuity can not be deduced
For example, if f (x) = | x |, 0 point is removed from the domain, then the limit is 0 around 0 point, but it is not continuous
It seems that continuity can deduce that left and right limits exist and are equal
What you said in the book must be incomplete, otherwise this conclusion is wrong. Take a good look



English general questions (13 15:24:23)


What fun we had! 2. His uncle is fond of fun. 3. Funny people (or things) Mr.Smith Smith



1,2,4,7,11,16 general term formula


Sequence: 1 2 4 7 11 16
Number of items: 1 2 3 4 5 6
Rule: 1 and 2 difference 2-1 = 1
The difference between 2 and 4 is 4-2 = 2
The difference between 4 and 7 is 7-4 = 3
The difference between 7 and 11 is 11-7 = 4
……
So a (n + 1) = a (n) + n (n is a natural number)