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.
<u>Answer:</u>
or 
<u>Step-by-step explanation:</u>
We are given the following function of x and we are to find the value of
:

Substituting the given value (7) in the above function to get:





or 
the correct answer for plato users is
2!!
We know that the sum of all angles in a triangle = 180°
Angle (A+B+C) = 180°
or
(3x°+13) + (x°-8) + x° = 180
5x° + 5 = 180°===> 5x° = 175° & x =35°