It is known that lim2 ^ n / [2 ^ (n + 1) + (m-2) ^ n] = 1 / 2

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• 1. Ln (1 + x) ^ 2 derivative
• 2. If limit exists, how to judge LIM (△ x → 0) [f (x0 + △ x) - f (x0 - △ x)] / △ x = f '(x0) error Wrong, it should be LIM (△ x → 0) [f (x0 + △ x) - f (x0 - △ x)] / 2 △ x = f '(x0)
• 3. F '(x0) = - 2 find the following limits: (1) Lim Δ X - > 0 f (x0 + 3 Δ x) - f (x0) / Δ x (2) limh - > 0 f (x0) - f (x0-h) / h
• 4. Although Lim f (x) exists, what does Lim f (x) ≠ f (x0) mean Although LIM (x → x0) f (x) exists, what does Lim f (x) ≠ f (x0) mean What is the specific situation? Can you give an example of a function that meets the conditions~ Thank you~
• 5. If f '(x0) = 2, find Lim [f (x0-k) - f (x0)] / 2K, K tends to 0
• 6. Let f (x) be differentiable at x = x0, then limh → 0f (x0 + H) − f (x0) H () A. It is related to both x0 and h. B. It is only related to x0 but not to H. C. It is only related to h but not to x0. D. It is not related to both x0 and H
• 7. If the function y = f (x) is continuous at x0, then limf (x)=
• 8. If f (x) is defined at x0 and limf (x) exists, then f (x) is continuous at x0. Is that right?
• 9. How can a continuous function x → x0, limf (x) = f (x0), no matter whether the point is continuous or discontinuous, since it is a limit, it is infinitely close to f (x0)
• 10. If f (x) has a limit at x = x0, then f (x) is differentiable at x = x0 A. Wrong B. Right y=x^n+e^x,y^(n)=n!+e^x A. Wrong B. Right If x of function y = LNX changes from 1 to 100, then the increment of independent variable x is DX = 99 and the increment of function dy = ln100 A. Wrong B. Right The 4N derivative of the function y = cos2x is cos2x A. Wrong B. Right When x approaches negative infinity, SiNx / X is infinitesimal A. Wrong B. Right
• 11. Write natural numbers from 360 to 630 with odd divisors
• 12. What's the difference between subtracting the quotient of 5 / 4 divided by 1 / 3 from the reciprocal of 5 / 3?
• 13. If three points a (2,2), B (a, 0), C (0, b) (AB ≠ 0) are collinear, then the value of 1A + 1b is equal to______
• 14. A series of general terms and summation problem! If the sequence {an} is an arithmetic sequence with tolerance of 1 / 2, and the sum of the first 100 items is 145, then A2 + A4 + A6 + +a100=? 3Q!
• 15. If a tangent is drawn from the origin to the circle x ∧ 2 + y ∧ 2-12x + 27 = 0, what is the length of the tangent
• 16. How to find the derivative of Ln (x + 2)
• 17. lim2^n +3^n/2^n+1+3^n+1
• 18. The number of divisors of a number is (?), and the smallest divisor is (?)
• 19. What's the difference between subtracting 73 from the reciprocal of 53 and 13?
• 20. If three points a (2,2), B (a, 0), C (0, b) (AB ≠ 0) are collinear, then the value of 1A + 1b is equal to______