Question

Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis

PLEASE HELP IM TIMED 20 PTS
Which statement describes the sequence?

The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.

Answer 1

`The \ general \ term \ of \ the \ sequence = (n + 1)/(n)`

`\lim_(n \to \infty) ((n+1)/(n)) = \lim_(n \to \infty) ((1)/(n) +1 ) = 1 + \lim_(n \to \infty) (1)/(n) = 1 + 0 = 1`

Option 3 : The sequence converges to 1