Prove lim_(n => infty) a_n=lim_(n => infty) (2n-1)/(3n+2)=2/3

bravere4g

bravere4g

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2022-08-24

Prove lim n a n = lim n 2 n 1 3 n + 2 = 2 3

Answer & Explanation

taldenmr

taldenmr

Beginner2022-08-25Added 6 answers

| 2 n 3 3 n + 2 2 3 | < ϵ
| 13 9 n + 6 | < ϵ  and  | 13 9 n + 6 | < | 13 9 n | < ϵ
Thus,
Given ϵ > 0 , For n > 13 9 ϵ , | 2 n 3 3 n + 2 2 3 | < ϵ
Hence the limit of 2 n 3 3 n + 2 is 2 3

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