Limx * LNX / (x * x + 2) x tends to be positive infinity

Using the law of lobida,
lim (X*lnX)/(X*X+2)
=lim lnX/(X+2/X)
=lim (1/X)/(1-2/X²)
=0/(1-0) = 0

RELATED INFORMATIONS

1. Find the value of limx ^ LNX when x tends to 0
2. The number of real roots of the equation x + LNX = 0 is
3. The number of roots of equation (1 / 2) ＾ x = LNX
4. F (x) is an odd function defined on R, x > 0 is, f (x) = x + LNX, the number of real roots of the equation f (x) = 0 Multiple choice, just give me an answer
5. The number of real roots of equation LNX + 2x-8 = 0 is () A. 0B. 1C. 2D. 3
6. The number of roots of the equation LNX = x Λ 2-4x + 4 is
7. It is known that f (x) = lnx1 + X − LNX, and f (x) has the maximum value at x = x0. The correct sequence numbers in the following expressions are: ① f (x0) < x0; ② f (x0) = x0; ③ f (x0) > x0; ④ f (x0) < 12; ⑤ f (x0) > 12 A. ①④B. ②④C. ②⑤D. ③⑤
8. If f (xn) = LNX, then the value of F (2) is () A. ln2B. 1nln2C. 12ln2D. 2ln2
9. F (2x) = LNX, f (x) = lnx-ln2, how does the first step change into the second step!
10. The three-dimensional figure of () besieged city of the cuboid
11. Y = LNX, the area of the figure enclosed by the straight line x = 3 and X axis, please help to list the formula (calculated by definite integral) After feedback from many friends, the definite formula = ∫ lnxdx is the interval integral from 3 to 1. I want to know how to find the intersection point 1
12. The calculation of the area of the plane figure enclosed by the positive metaphysical curve y = SiNx and the x-axis on [0, π]
13. The area of a figure enclosed by a curve y ^ 2 = x and a straight line x = 1?
14. Let the plane figure d be bounded by the square of the curve y = x, the straight lines X = 1 and y = 0, and find the area s of D
15. The area of the figure enclosed by the curve y = ex, y = E-X, x = 1 is______ ．
16. Find the area of figure enclosed by straight line x = 0, x = 1, y = 0 and curve y = x (x-1) Using the "four step curve" to solve the trapezoidal area of curved edge
17. Find the definite integral of the (- SX) power of e multiplied by the nth power of X from 0 to positive infinity. (n is a real number)
18. How to find the definite integral of e to the power (- x) from negative infinity to 0 The specific problem is as follows: when x is greater than or equal to 0, find f (x) = (1 / 2) [∫ e ^ (- x) DX (integral lower limit is negative infinity, upper limit is 0)] + (1 / 2) [∫ e ^ (- x) DX (integral lower limit is 0, upper limit is x)]
19. Why is the definite integral of the nth power of X on (0,1) 1 / N + 1?
20. How to calculate the definite integral of √ (1 + x ^ 2) from 0 to 1?