Use the First Six Terms to Predict the Limit of the Sequence

Multiple Choice

Use the first six terms to predict the limit of the sequence $\alpha _ { n } = \frac { 7 n ^ { 3 } } { n ^ { 3 } + 4 }$ (assume n begins with 1) .

A) 7
B) $\frac { 42 } { 5 }$
C) $\frac { 33 } { 8 }$
D) 6
E) the sequence diverges