Respuesta :

Answer:

Option 4

Step-by-step explanation:

Term = n/(4^n)

(n+1)th term = (n+1)/[4^(n+1)]

Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)

= (n+1)/[4^(n+1)] × (4^n)/n

= [(n+1)/n] × (1/4)

For large n, (n+1)/n approaches 1

[(n+1)/n] × (1/4) approaches 1/4 which is less than 1

Since the ratio is less than 1, series converges

Answer: the answer is d

Step-by-step explanation: correct on e2020

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