Find the limit limx → 0 ∫ (0 → 2x) ln (1 + T) DT / x ^ 2

Find the limit limx → 0 ∫ (0 → 2x) ln (1 + T) DT / x ^ 2


limx→0 ∫(0→2x) ln(1+t)dt/x^2
Law of lobida
=lim[x→0] 2ln(1+2x)/(2x)
=lim[x→0] ln(1+2x)/x
Substitution by equivalent infinitesimal
=lim[x→0] 2x/x
=2
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Lim x →∞ (2x + 1) ^ 10 (x ^ 2 + 5) ^ 9 / (3x + 2) ^ 14 (x ^ + 1) ^ 7


Lim ∞ > {[(2x + 1) ^ 10 * (X & # 178; + 5) ^ 9] / [(3x + 2) ^ 14 * (X & # 178; + 1) ^ 7]} = Lim ∞ > {[(2 + 1 / x) ^ 10 * (1 + 5 / X & # 178;) ^ 9] / [(3 + 2 / x) ^ 14 * (1 + 1 / X & # 178;) ^ 7]} (numerator denominator with division x ^ 28) = [(2 + 0) ^ 10 * (1 + 0) ^ 9] / [(3 + 0) ^ 14 * (1 + 0) ^ 7] = 2 ^ 10 / 3 ^ 14



To build a resource-saving society, everyone needs to firmly establish the concept of energy conservation. Using materialist dialectics and historical materialism, this paper explains the philosophical basis for everyone to establish the concept of energy conservation


Materialist dialectics point of view: 1 contact is universal and objective, everything in the world has contact, comprehensive environmental protection construction is closely related to the people's environmental protection concept, so strengthening publicity to improve the people's energy conservation and emission reduction concept is conducive to promoting environmental protection construction, is conducive to the people's life



What other English words are similar to people's singular and plural? It is a countable noun, but there is no plural form


Fish, deer, sheep, works, means, Swiss, Swiss, Chinese



For the surface area and volume of the cylinder, C = 25.12cm, height 10cm,
There is another problem: find the volume of the following combination of graphics, a cylinder + two triangles (playing horizontal) 2m high, the length of the three graphics are 3M! Urgent. Wait half an hour
The first question doesn't need to be a bird. It's the problem of combination graphics.


Question 1: radius: 25.12 / 3.14 / 2 = 4
Side area: 25.12 * 10 = 251.2
Surface area: 4 * 4 * 3.14 + 4 * 4 * 3.14 + 251.2 = 351.68
Volume: 4 * 4 * 3.14 * 10 = 502.4



The greatest common divisor of 42 and 70 is______ The least common multiple is______ .


42 = 2 × 3 × 7, 70 = 2 × 5 × 7, so the greatest common divisor of 42 and 70 is 2 × 7 = 14, and the least common multiple is 2 × 7 × 3 × 5 = 210



It is known that: in △ ABC, BC = 2cm, ab = 8cm, the length of AC is odd, and the perimeter of △ ABC is calculated


Let the third side AC be x, ∵ BC = 2cm, ab = 8cm, 6 ∵ x < 10. ∵ x = 7, 8 or 9. The length of ∵ AC is odd, ∵ AC = 7cm or 9cm, the circumference of ∵ ABC is: 2 + 8 + 7 = 17 (CM); 2 + 8 + 9 = 19 (CM)



The sum of two natural numbers is 54, and the difference between their least common multiple and the greatest common divisor is 114


Let two natural numbers be x and y, x = AXB, y = CXB, and a, B, C are all positive integers, then AB + CB = 54 = B (a + C) = 2x3x9abc-b = 114 = B (ac-1) = 2x3x19. Because a, B, C are all positive integers, B may be 2 or 3 or 6. After testing, B is 2 or 3 A, C has no positive integer solution, so B can only be 6, so a = 4, C = 5



Angel wing code better give me a code table: A1 B1 C1 D1 E1 F1 G1 H1 I1 J1 K1 L1 M1A2 B2 C2 D2 E2 F2 G2 H2 I2
That's what it means


In this case, you can make a simple replacement



Complex number of Tomato


tomato→tomatoes
potato→potatoes
Photo → photos
boy→boys
Chinese→Chinese
Japanese→Japanese
Sheet → sheet (without s)
class→classes
yourself→yourselves
box→boxes