Where does the base e of natural logarithm come from?
The second important limit
lim_ n->inf (1+1/n)^n=e
RELATED INFORMATIONS
- 1. 10. Let a > 0, b > 0, e be the base of natural logarithm 10. Let a > 0, b > 0 and E be the base of natural logarithm A. If EA + 2A = EB + 3b, then a > B B. If EA + 2A = EB + 3b, then a < B C. If ea-2a = eb-3b, then a > B D. If ea-2a = eb-3b, then a < B A B after e is the index
- 2. Given that a and B satisfy b > a > e, where e is the base of natural logarithm, a ^ b > b ^ A is proved A ^ b > b ^ a B (LNA) > A (LNB) can you explain it?
- 3. The base of natural logarithm Don't give me a definition. What's the use of E? Many formulas are the simplest. Why?
- 4. Lim ┬ (n →∞) &; ((1 / (n ^ 2 + 1)] + 2 / (n ^ 2 + 2) + &; n / (n ^ 2 + n)) is equal to 1 / 2,
- 5. There is a point charge in vacuum, and the charge quantity is Q. according to Coulomb's law and the definition of electric field strength, the expression of electric field strength at the point where q is R is derived
- 6. Why should the charged body be regarded as a point charge when calculating the field strength? Is it because of Coulomb's law? E = KQ / r2
- 7. What is the definition of Coulomb's law?
- 8. On the derivation of Coulomb's law It is said in the book that Coulomb's electric pendulum experiment is more powerful than the torsion pendulum experiment in proving the inverse square law, but how Coulomb deduces the relationship between Coulomb force and R through the relationship between the pendulum period T and the distance r between two charge spheres? It is best to list the relevant derivation formula, thank you!
- 9. Two identical spherical conductors, suspended at the same point by thin insulated wires of 13 cm in length, have the same amount of charge (can be regarded as point charge). Due to electrostatic repulsion, the distance between them is 10 cm. The mass of each spherical conductor has been measured to be 0.6 g, and the amount of charge they carry is calculated. (known electrostatic constant k = 9 × 109 n · m2 / C2)
- 10. Tangent length theorem
- 11. Mathcad draw logarithmic image, log can't add base. What should I do
- 12. The larger the base of logarithm, the farther away the function image is from the positive direction of Y axis What is the meaning of "the farther away the function image is from the positive direction of y-axis"?
- 13. Natural logarithm e accurate to 100, how to get out!
- 14. What is the natural logarithm e approximately equal to? Can there be 10 decimal places? two point seven one eight four eight two point seven one eight two eight one eight two eight four five nine Which is right?
- 15. What is the use of natural logarithm e? When and how to use it?
- 16. How to get the value of E in natural logarithm? Please answer in plain language
- 17. On the base e of natural logarithm Excuse me? two hundred and seventy-one thousand eight hundred and one Is e - - = 3 ^ (- 10)? ninety-nine thousand nine hundred and ninety .. .271801 Is e - - = 3 ^ (- 10)? .99990 These dots are for space occupying, and they have no practical significance Although it's irrational, I want to ask you whether the formula I gave is true?
- 18. On the origin of natural logarithm e e=1+1+1/2!+1/3!+1/4!+… ..+1/n!+.=2.7182818284590.≈2.72 1 / 2 of them
- 19. The origin of natural logarithm e?
- 20. Is the instantaneous value of current (voltage) expressed by effective value or peak value?