![](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>)
What function is f (x) = sgnx? What is the image like?
① When x > 0, f (x) = 1
② When x < 0, f (x) = - 1
③ When x = 0, f (x) = 0
What kind of function is f (x) = - sgnx
It's like this
1 x>0
sgn(x) = 0 x=0
-1 x0
So f (x) = - SGN (x) = 0, x = 0
1 x
What is the maximum theorem of continuous function on closed interval?
Zero point theorem and intermediate value theorem
RELATED INFORMATIONS
- 1. What is the intermediate value principle of continuous function?
- 2. The Weierstrass theorem (1) draw diagram of cases in which a feasible set (budget set) is not closed or not bunded,but a solution to the optimization problem exists. (in the case of drawing a graph, one of the feasible sets (budget set) is not closed or bunded, but there is a solution to the optimization problem.) (2)show f(x)=1,g(x)=x are continuous functions. It is shown that f (x) = 1, G (x) = x are continuous functions (3)Does the following function has a maximum on the inverval [-1,1]?If not,explan why. Does the following function have a maximum interval [- 1,1]? If not, please explain the reason f(x)= 1/x,x=/=0； 0,x=0.
- 3. How to explain the problem that spring force can't change suddenly
- 4. Can the spring force change suddenly?
- 5. Ln (1 + 2x ^ 2) / ln (1 + 3x ^ 3) Lim tends to be positive infinity. The limit of Ln (1 + 2x ^ 2) / ln (1 + 3x ^ 3) Lim is obtained by using the law of lobita
- 6. Finding the limit: x ^ - 1-e of LIM (x-0) (1 + x) divided by X
- 7. It is proved that limx approaches 0, the power of X + a of e minus the power of a of e divided by the power of a of x = E
- 8. How does the SiNx power e of limx approaching 0 x come out I know the zero power of the answer e, but e doesn't know how to get it out
- 9. The limit of (LN Tan 7x) / (LN Tan 2x) when x approaches 0 Why not directly (1 / tan7x) / (1 / tan2x) = tan2x / tan7x = 2 / 7?
- 10. The limit of [sin (SiNx)] / x, X → 0
- 11. Find the left and right limit of function f (x) = [x] at x = 0
- 12. Functions are bounded, unbounded, convergent, divergent, with and without limits. What are the relations between these relations?
- 13. X tends to 0, the limit of sin1 / x ^ 2-1 / sin2x (not SiNx ^ 2, sin2x)
- 14. (e ^ n times n!) / N ^ n how to find the limit x tending to infinity
- 15. Finding limit: when x tends to infinity, find the limit of (x + 1) &# e ^ X Limit: when x tends to infinity, find the limit of (x + 1) / e ^ X
- 16. One X of E, X tends to 0 - why is the limit 0?
- 17. How to find the sum of the first n terms of an = 1 / n
- 18. Prove the convergence of sequence √ 2, √ (2 + √ 2), √ (2 + √ (2 + √ 2)),. And find its limit
- 19. It is proved that if a sequence converges to a, then any of its subsequences converges and the limit is a Can that be expressed in mathematical language?
- 20. On N > N in sequence limit For example, if the sequence is n + 1 / N and the limit is 1, 1 / N can be calculated If you want the distance between the sequence and the limit to be less than 0.001, as long as n > 2000 In the concept of limit, there is an n > N, that is, 2001 > 2000 What does this n stand for?