Sign In Sign Up Ask an AI advisor
muffin261
muffin261
08.04.2020 • 
Mathematics

Select all the correct statements. If the series \sum_{n=1}^{\infty} a_n ∑ n = 1 [infinity] a n is convergent, then \lim_{n \to \infty} a_n = 0 lim n → [infinity] a n = 0 The test for Divergence states: If the series \sum_{n=1}^{\infty} a_n ∑ n = 1 [infinity] a n is divergent, then \lim_{n \to \infty} a_n \neq 0 lim n → [infinity] a n ≠ 0 The harmonic series \sum_{n=1}^{\infty} \frac{1}{n} ∑ n = 1 [infinity] 1 n is divergent and the geometric series \sum_{n=1}^{\infty} \frac{1}{2^n} ∑ n = 1 [infinity] 1 2 n is convergent The test for divergence states: If \lim_{n \to \infty} a_n \neq 0 lim n → [infinity] a n ≠ 0 or does not exist, then the series \sum_{n=1}^{\infty} a_n ∑ n = 1 [infinity] a n is divergent If \lim_{n \to \infty} a_n = 0 lim n → [infinity] a n = 0 , then the series \sum_{n=1}^{\infty} a_n ∑ n = 1 [infinity] a n is convergent

Solved
Show answers

Ask an AI advisor a question

I want advice