Which equations support the fact that rational numbers are closed under addition?
2 answers:
Answer:
Step-by-step explanation:
Since, according to the property that rational numbers are closed under addition.
If a and b are the rational number then (a+b) must be a rational number.
Since, In First option
Addends √ 9 and √ 9 are rational number.
Also, 2 √9 is the rational number.
Thus It is following the property.
In Second option
Addends and
are rational numbers.
Also, is a rational number.
Thus, It is also following the property.
Note: Both √6 and √2 are the irrational numbers.
This is why we did not take them.
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The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
<h3>What is convergent of a series?</h3>A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We can find the interval for the convergent by root test.
Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.
For the given series:
As the series goes infinitely, we can use root test.
By the root test, the convergence interval will be;
The interval of convergence is:
x < -3 or x > 3 we can write this as:
|x| < 3
Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.
Learn more about the convergent of a series here:
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