Question

Test the convergence of series £[(n
^3 + 1) ^(1/
3) − n]​

Answer 1

Answer:

ANSWER

Step-by-step explanation:

Suppose I am given a infinite series as

∑n=1∞(n3+1)1/3−n

how can I tell that if it converges or diverges (by which test) , I applied D'alembert ratio test as

limn→∞((n+1)3+1)1/3−n−1(n3+1)1/3−n

but test fails as limit comes out to be 1 , so how to actually find nature?