Assuming the series is

The series will converge if

We have

So the series will certainly converge if

, but we also need to check the endpoints of the interval.
If

, then the series is a scaled harmonic series, which we know diverges.
On the other hand, if

, by the alternating series test we can show that the series converges, since

and is strictly decreasing.
So, the interval of convergence for the series is

.
Answer:
see below
Step-by-step explanation:
i'm guessing u must be from UK.... in the US "standard form" is known as "Scientific Notation"
Write 3.25 x 10^4 as an ordinary number: 32 500
Write 6.04 x 10^-3 as an ordinary number: 0.00604
Write 2 400 000 in standard form : 2.4 x 10^6
Write 0.00147 in standard form: 1.47 X 10^-3
2(l+w)=16
l+w=16:2
l+w=8
for l>w
l=7, w=1
l=6, w=2
l=5, w=3
Answer:
Step-by-step explanation:
9x + 8 = 7.5x + 17
1.5x = 9
x = 6 hours
Answer:
Step-by-step explanation:
12x² + 17x -5 = 12x² + 20x - 3x - 5
= 4x(3x + 5) -(3x + 5)
= (3x + 5)(4x - 1)
6x² + 7x - 5 = 6x² + 10x - 3x - 5
= 2x(3x + 5) -(3x+5)
= (3x + 5)(2x - 1)

