Zane weighs 50 kilograms. What is his weight in pounds? (The proportional relationship between kilograms and pounds is .)

Mathematics

1 answer:

Studentka2010 [4]3 years ago

8 0

110 pounds is the correct answer.

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Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

There are 10 less trumpet players than saxophone players. The number of saxophone playere is 3 times thr number of trumpet playe

just olya [345]

I'm guessing it 30 it says 3 times the nber of trumpet players

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3 years ago

How do you divide 85 and 5?

AVprozaik [17]

Division is like sharing so 85 things that are shared between 5 people
85÷5=17 that is how much each person gets
so 17 is your answer

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3 years ago