3 years ago

Question 3 of 10

Mathematics

2 answers:

12345 [234]3 years ago

8 0

Answer:

F. and D.

Step-by-step explanation:

square root of 81 is 9 because 9 is a number which produces a specified quantity when multiplied by itself.

andreyandreev [35.5K]3 years ago

6 0

The answer should be 9 if I’m not mistaken

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Step-by-step explanation:

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((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

allsm [11]

Answer:

This series is convergent

(A)

Step-by-step explanation:

We are given a series

Firstly, we will find nth term

So, numerator is

$=2n+1$

So, denominator is

$=n!$

so, nth term will be

$a_n=\frac{2n+1}{n!}$

now, we can use ratio test

$L= \lim_{n \to \infty} \frac{a_n_+_1}{a_n}$

$L= \lim_{n \to \infty} \frac{\frac{2n+3}{(n+1)!}}{\frac{2n+1}{n!}}$

$L= \lim_{n \to \infty} \frac{2n+3}{\left(n+1\right)\left(2n+1\right)}$

Since, denominator has two n terms

so, we get

$L=0$

So, this series is convergent

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3 years ago