An alternating series
converges if
is monotonic and
as
. Here
.
Let
. Then
, which is positive for all
, so
is monotonically increasing for
. This would mean
must be a monotonically decreasing sequence over the same interval, and so must
.
Because
is monotonically increasing, but will still always be positive, it follows that
as
.
So,
converges.
Answer:
No
Step-by-step explanation:
Answer:
500 times
Step-by-step explanation:
They breathe 20 times per minute for 25 minutes
20(times per minute) x 25(minutes) = 500