On the inequality e of X, the solution set of which X is greater than LNX is

RELATED INFORMATIONS

• 1. 3.9 the solution set of inequality e ^ / LNX / > x ^ 2-2 is______ .
• 2. Using derivative to prove inequality: 0
• 3. Finding the derivative of (1 / LNX)
• 4. LIM (x → 0 +) lncotx / LNX is used to find the limit
• 5. Given the function f (x) = x ^ 3, then when Lim △ → 0, (x + △ x) ^ 3-x ^ 3 / △ x What is (x + △ x) ^ 3-x ^ 3 / △ x equal to when seeking Lim △→ 0?
• 6. Let f (x) = ln (x + 1) + ax, (a ∈ R and a ≠ 0). (I) discuss the monotonicity of function f (x); (II) if a = 1, it is proved that f (x) − 3 ＜ LX holds when x ∈ [1,2]
• 7. F (x) = x ^ 2 - ax + ln (x + 1), a belongs to R F extremum when a = 2 If the function f (x) always has f prime (x) greater than x in the interval (0,1), find the value range of real number a
• 8. It is known that f (x) = ln (AX + 1) + x ^ 3-x ^ 2-ax If f (x) is an increasing function on [1, positive infinity], find the value range of real number a
• 9. lim f(x) = ln(x) / x x->0+ To do this
• 10. It is proved that LIM (x → x0) x & # 178; = (x0) &# 178;
• 11. It is proved that if the function f (x, y) is continuous on the bounded closed domain D, the function g (x, y) is integrable on D, and G (x, y) ≥ 0, (x, y) belongs to D, then at least one point (a, b) belongs to D, such that ∫ (domain D) f (x, y) g (x, y) d Δ = f (a, b) ∫ (domain D) g (x, y) d Δ = f (a, b) ∫ (domain D) g (x, y) d Δ
• 12. Let f (x) be differentiable in the interval (0,1) and f '(x) be bounded. It is proved that the series ∑ (n from 2 to infinity) [f (1 / N) - f (1 / (n + 1))] is absolutely convergent In the answer, [f (1 / N) - f (1 / (n + 1)) = f '(ζ) (1 / n-1 / (n + 1)) = f' (ζ) * 1 / N (n + 1),) absolute value f (1 / N) - f (1 / (n + 1)) ≤ M / N ^ 2, how does this m / N ^ 2 come from
• 13. It is known that the function f (x) is a differentiable function on (0, + ∞), if XF '(x) > F (x) is constant when x > 0 (1) It is proved that the function g (x) = f (x) / X is an increasing function on (0, + ∞) (2) When X1 > 0, X2 > 0, f (x1 + x2) > F (x1) + F (x2)
• 14. It is known that the differentiable function f (x) defined in (0, + ∞) satisfies XF '(x) - f (x) > 0 and f (x) > 0 (1) Let f (x) = f (x) / x, and prove that f (x) is an increasing function on (0, positive infinity) (2) If a > b > 0, AF (a) and BF (b) were compared
• 15. The function f (x) = AX2 = B, f (1 = - 1), f (2) = 8. (1) find the value of AB, (2) f (5) F (x) = AX2 = B, that 2 is small 2, the computer can't type it out
• 16. F (x) located in the left clinical region of x = X0
• 17. The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is () A. 5B. 6C. 7D. 8
• 18. It is proved that the function f (x) = 1-1 / X is an increasing function on (-, 0)
• 19. The function f (x) = x + 1 / X proves that f (x) is a decreasing function on (0,1)
• 20. How to find LIM (x → 1) (3x + 5) / (x ^ 3-1)?