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LIM (x / 2) ^ (x / X-2). X tends to 2! Question 2: LIM (e ^ (x) - 1 / x). X tends to 0 I'm very weak on limits
(1)L =lim(x->2 ) (x/2)^( x/(x-2) )lnL =lim(x->2 ) xln(x/2) /(x-2) (0/0)=lim(x->2 ) [ ln(x/2) + 1 ]= 1L =e^0=1ielim(x->2 ) (x/2)^( x/(x-2) ) =1(2)lim(x->0) (e^(x)- 1 )/x (0/0)=lim(x->0) e^x=1
How to solve LIM (x tends to 0) (cos3x-cos5x) / x ^ 2?
The molecule is transformed into cos (4x-x) - cos (4x + x) =... = 8cosx * cos2x * SiNx * SiNx
The ultimate limit is 8
Lim x → 0 (a ^ x-1) / x =? Why is the answer LNA?
Lim x → 0 (a ^ x-1) / x =? Why is the answer LNA?
If (1) f (x) and f (x) tend to zero when x → a; (2) f '(x) and f' (x) exist and f '(x) ≠ 0 in the centreless neighborhood of point a; (3) Lim f' (x) / F '(x) exists (or is infinite) when x → a, then Lim f (x) / F (x) = Lim f' (x) / F '(x)
RELATED INFORMATIONS
- 1. Finding limit x → Alim (LNX LNA) / x-a Seeking the limit x→a lim (lnx-lna)/(x-a)
- 2. When x → 0, y → 1, find LIM (1-xy) / X & # 178; + Y & # 178;
- 3. Is LIM (e ^ x) x zero when it tends to negative infinity?
- 4. Let f (x) - f (a) / (x-a) 2 = 1 / 3 when x tends to a, then f (x) is at x = a A derivative exists, but the derivative is not equal to zero. B reciprocal does not exist. C gets the maximum and D gets the minimum
- 5. When x approaches zero, what is Lim [(1-cos3x) / (9xsin5x)] equal to?
- 6. lim（x->1）((3√x-6√(2x-1))/x-1) I hope my friends can help me a lot,
- 7. Finding the limit of (x + e ^ 2x) ^ - 1 / X when Lim x tends to zero by substitution of equivalent infinitesimal factors
- 8. Find LIM (x → 0) (x-sinx) / 2x ^ 3 =?
- 9. If the function f (x) = (x ^ 3) + ax ^ 2 + BX + A ^ 2 has an extreme value of 10 when x = 1, what are the values of A.B?
- 10. In the calculation result of (AX2 + BX + 1) (2x2-3x-1), there is no X3 term and X term
- 11. LIM (x tends to 1) (E-E ^ x) / (x-1)=
- 12. Find the limit of (x → + ∞) LIM ((x + 5) ^ 0.5-x ^ 0.5), Can you write down the specific process?
- 13. Why LIM (x → 0) cosx = 1
- 14. Finding the limit: finding the power of LIM (1 + 3tan & sup2; x) - cot & sup2; X when x → 0
- 15. When x tends to zero, what is the limit of the square of 1 / x minus the square of Cotx
- 16. Find the limit LIM (x → π) sin 3x / Tan 5x and why? There is also a problem in the book solved to LIM (x → 0) (SEC ^ 2x TaNx) / x, (note that this is the square of secx) and then LIM (x → 0) TaNx / X. I don't know what the solution is. Continue with the lobita rule?
- 17. lim(x->∞) (sin2x)/(x^2)= lim (sin2x)/(x^2)=_______ (x->∞)
- 18. Find LIM (n → 0) [sin2x / x-sin (2 / x)]
- 19. LIM (x / 4) 1 + sin2x / 1-cos4x=
- 20. LIM (x tends to 0) f (x) / x = 2, then LIM (x tends to 0) sin2x / F (3x) =?