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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Step-by-step explanation:
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Step-by-step explanation:
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By definition, an expression does not contain AN EQUALS SIGN (=).
Equation of a line that is perpendicular to given line is
.
Equation of a line that is parallel to given line is
.
Solution:
Given line
.
Slope of this line,
= 



Slope of perpendicular line, 
Passes through the point (–7, 5). Here
.
Point-slope formula:



Subtract 7 from both sides, we get

Equation of a line that is perpendicular to given line is
.
To find the parallel line:
Slopes of parallel lines are equal.


Passes through the point (–7, 5). Here
.
Point-slope formula:


Subtract 7 from both sides,

Equation of a line that is parallel to given line is
.