How to determine whether the sequence a_n=(2^n+3^n)/(2^n-3^n) converges, if so how do you find the limit?

Rebekah Hahn

Rebekah Hahn

Answered question

2023-03-10

How to determine whether the sequence a n = 2 n + 3 n 2 n - 3 n converges, if so how do you find the limit?

Answer & Explanation

popescy91

popescy91

Beginner2023-03-11Added 5 answers

Numerator and denominator must be divided by 3 n like this...

lim n a n = lim n 2 n + 3 n 2 n - 3 n
lim n a n = lim n ( 2 3 ) n + 1 ( 2 3 ) n - 1
lim n a n = 0 + 1 0 - 1
lim n a n = - 1

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