1/3+1/5+1/7…… 1/(2n+1) Look at the problem clearly, but you can't solve it
Sigma 1 / (2n + 1) is a divergent series. (positive series) so the sum of the first n terms tends to be positive infinity!
RELATED INFORMATIONS
- 1. What is the limit of [4 * 6 * 8 *. * (2n + 2)] / [3 * 5 * 7 *. * (2n + 1)]?
- 2. What is 1 + 3 + 5 + 7 + (2n-1) equal to
- 3. When n tends to infinity, how to find the limit of 1 / N ^ 3 + 2 ^ 2 / N ^ 3 +... + (n-1) ^ 2 / N ^ 3
- 4. The limit of (n + 2) ^ 3 / (n + 1) ^ 4 (when n tends to infinity)
- 5. How to calculate LIM (1 + 5 / N) ^ n
- 6. Calculate LIM (a - 2 + a - 4 +...) +a⌒2n)/(a+a⌒2+a⌒3+… +a⌒n) If the absolute value of a is less than 1, please explain in detail
- 7. Find the limit problem LIM (1 / (1 + x) + 1 / (1 + x) ^ 2 + 1 / (1 + x) ^ 3 +. 1 / (1 + x) ^ n) when n tends to infinity, what is the limit of the expression? It's better to be able to give the process of solving the problem
- 8. What does the calculus formula F '(x) = Lim △ x → 0 (f (x + △ x) - f (x)) / △ x mean? I'm a self learner - what's the slope.
- 9. How to find the sum function of power series N = 0 to ∞Σ x ^ n / (n + 1)
- 10. What is the sum of power series (n-1) x ^ n and function?
- 11. If the limit of 2n - (4N ^ 2-kn + 3) ^ 0.5 is 1, then the value of K is equal to?
- 12. LIM (1 / 2 + 1 / 2 ^ 2... + 1 / 2 ^ n) / (1 / 3 + 1 / 3 ^ 2... 1 / 3 ^ n) for limit LIM (1 / 2 + 1 / 2 ^ 2... + 1 / 2 ^ n) / (1 / 3 + 1 / 3 ^ 2... 1 / 3 ^ n) for limit
- 13. Find limit LIM (1-1 / 2 ^ 2) (1-1 / 3 ^ 2)... (1-1 / N ^ 2)=_____
- 14. Using function continuity to find the following limit LIM (x tends to 0) arctan2 ^ X / (Tan ^ 2 + (x + 2) ^ cosx)
- 15. Given that f (x) is continuous in a neighborhood of x = 0, and f (0) = 0, limx → 0f (x) 1-cosx = 2, then f (x) () A. Nondifferentiable B. differentiable, and f ′ (0) ≠ 0C. Get the maximum D. get the minimum
- 16. Given that f (x) is continuous, f (0) = 0, LIM (x tends to 0) f (x) / 1-cosx = 2, then at x = 0, f (x) = 0, then (A: not differentiable, B: differentiable and f (x) = 0 C: Take the minimum value D: take the maximum value, which one to choose and why to seek detailed explanation
- 17. To find the limit of LIM (x tends to 0) {(1 / x) - [1 / (e ^ x-1)]} by using the law of Robida,
- 18. (x to the third power) n + 2 = (XN-1 to the fourth power), find the value of (n to the third power) to the fourth power
- 19. Observe the following formulas: (x-1) (x + 1) = x2-1 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; (x-1) (x2 + X + 1) = x3-1 (x-1) (X3 + x2 + X + 1) = x4-1 According to the previous law, we can get the following results: xn + 1 + xn + +x+1)=______ .
- 20. If n is known to be an odd number, then (- x) n power + (- xn) power =?