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

Answer:

$The \ general \ term \ of \ the \ sequence = \frac{n + 1}{n}$

$\lim_{n \to \infty} (\frac{n+1}{n}) = \lim_{n \to \infty} (\frac{1}{n} +1 ) = 1 + \lim_{n \to \infty} \frac{1}{n} = 1 + 0 = 1$

Option 3 : The sequence converges to 1