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:
∠ WUV = 36°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ VWX is an exterior angle of the triangle, thus
8x - 18 = 2x + 8 + 3x + 16
8x - 18 = 5x + 24 ( subtract 5x from both sides )
3x - 18 = 24 ( add 18 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Thus
∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°
Answer:
B. Graph of a one-to-one function.
Step-by-step explanation:
A one-to-one function will have a unique value, y, for each different value of x. The graph displayed will have values very, very close to each other as x approaches ±4, but they won't be the same even at higher values of x.
Answer: I believe this is a reflection
Step-by-step explanation: I think this is a reflection because the points are flipping to the exact opposite y coordinate.
Hope this helps.
