Calculus problem No.4

Calculus Level 2

∑ n = 4 ∞ ∣ n 3 + 3 n n 3 − 3 n ∣ \sum_{n=4}^{\infty} \left|\frac{n^{3}+3^{n}}{n^{3}-3^{n}} \right|

Does the sum above converge?

Diverges Converges

Anh Khoa Nguyễn Ngọc by Anh Khoa Nguyễn Ngọc , 18, Vietnam

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1 solution

Vilakshan Gupta
Aug 16, 2020

Each term of the sequence is greater than 1 1 , and adding infinite terms greater than 1 1 will lead to a divergent sum.

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