Webbconverges or diverges. α) by apply the Limit Comparison Test to determine whether the given series Σ (7) Σ Σ sin α n=1 sin (1/n) √n Question kindly answer it perfecrly (3.6) Transcribed Image Text: converges or diverges. a) b) apply the Limit Comparison Test to determine whether the given series ∞ Σsin n=1 n=1 (3) sin (1/n) √n Expert Solution Webbn 1 n 1) = (1=(n 1)!), corresponding to the probability that out of all (n 1)! permutations we choose the one which gives the right order for x i’s. If we also require that X 1 x, then we need to multiply this by the probability ...

Large sample Inference: Module 81

WebbSuppose [〖10〗^n π]-〖10〗^n π converges to a real number. This implies that there are integers k between 0 and 10 and K such that for n≥K, ... This is absurd since π is irrational. Theorem 3: sin(n) diverges. Proof: If sin[〖10〗^n x] has a limit s, then for any ϵ>0 there exist an integer K such that for n≥K, s- database and cloud computing

Homework 12

WebbAnswer (1 of 5): Suppose there exist a\in [-1,1] such as \lim\limits_{n \to +\infty} \sin(n) = a. Because \cos(n)^2+\sin(n)^2 = 1, we have \lim\limits_{n \to +\infty ... WebbSin’s absolute convergence (n)/ (n2) is bounded by 0 to 0, and it converges. Is sin 1 n/2 converging or diverging? Because n = 11n2 is converged by the p-series test, n = 1 sin ( 1n2) is converged by using the inequality you mentioned and the comparison test. Is it possible that 1/2 n and n converge? WebbDetermine whether the following series converges absolutely, converges conditionally, or diverges 6 sink K = 1 5k Does the series _ ak converge absolutely, converge conditionally, or diverge? biting winds destiny