![](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>)
(e ^ x ^ 2 + 2cosx-3) / x ^ 4 x tends to 0, and the limit is 7 / 12
Substituting x = 0 to get 0 / 0, lobida, the molecular denominator is (2xe ^ (x ^ 2) - 2sinx) / 4x ^ 30 / 0, lobida (2e ^ (x ^ 2) + 4x ^ 2 * e ^ (x ^ 2) - 2cosx) / 12x ^ 20 / 0, lobida [4xe ^ (x ^ 2) + 8XE ^ (x ^ 2) + 8x ^ 3 * e ^ (x ^ 2) + 2sinx] / 24x = [12xe ^ (x ^ 2) + 8x ^ 3 * e ^ (x ^ 2) + 2sinx] / 24x0 / 0
N tends to infinity. What is the limit of (2 ^ N-N ^ 2) / 3 ^ n? F (x) = root (1-x ^ 2). Find the derivative when x = 2
Hope to understand, do not need to step
N tends to infinity, and the limit of (2 ^ N-N ^ 2) / 3 ^ n is 0
f'(x)=-x/√(1-x^2)
F '(2) meaningless
When x tends to 0, find the limit of x ^ 2 / [1 + x ^ 2 under 1-radical]
The denominator is rationalized by multiplying 1 + root (1 + x ^ 2)
The original formula can be reduced to (1 + x ^ 2) under - 1-radical,
When x approaches 0, the original formula = - 2
RELATED INFORMATIONS
- 1. Find the solution set of (x + 2) > = 0 under the root sign of inequality (x-1) * and seek the help of God
- 2. Find LIM (n → + ∞) (1 + n) [ln (1 + n) - ln n]
- 3. What is the second power of X divided by the second power of X?
- 4. Find the monotone interval and extremum of the cubic power of y = x minus three X
- 5. It is proved that limx → ax ^ 5 = ax ^ 5 limit holds by the definition of function limit lim x^5=a^5 x→a That's right: | x ^ 5-a ^ 5| How to prove x ^ 5 = a ^ 5
- 6. Commonly used equivalent infinitesimal x ^ 4-2x ^ 2 ~ - 2x ^ 2, which I can't understand at all X tends to zero
- 7. Find the limit X - > 0 + (1-cosx) (x ^ x-1) ((√ x + 1) - 1) / (1 + cosx) ^ 2 * LNX * arctan (x ^ 2) ^ 2
- 8. lim[ln(1+x)+ln(1-x)]/(tanx)^2
- 9. Why is the x power of E plus the negative x power of e equal to the 2x power of E plus one
- 10. How to simplify SiNx ^ 4 + cosx ^ 4, What about SiNx ^ 4-cosx ^ 4
- 11. Y = (x + 1) * ln (x + 1) / x, when x infinitely approaches 0, what is the limit of Y? The answer is 1. I want to deduce the process
- 12. Ln (1 + 2x) divided by sin3x, X tends to 0, evaluated
- 13. The limit of limln (sin3x) / ln (SiNx) when x tends to 0 +
- 14. The limit of [sin (SiNx)] / x, X → 0
- 15. The limit of (LN Tan 7x) / (LN Tan 2x) when x approaches 0 Why not directly (1 / tan7x) / (1 / tan2x) = tan2x / tan7x = 2 / 7?
- 16. 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
- 17. 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
- 18. Finding the limit: x ^ - 1-e of LIM (x-0) (1 + x) divided by X
- 19. 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
- 20. Can the spring force change suddenly?