Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>
- The critical points of a function are the <u>values of x</u> for which:
- Additionally, there has to be a change in the sign of
Researching the problem on the internet, it is found that:
- For 0 < x < 5,
.
- For x = 5, is undefined.
- For 5 < x < 8,
.
- For x = 8, .
- For 8 < x < 12, .
- For x = 12, .
- For 12 < x < 16, .
The two conditions, and a change in the signal of are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137
Answer:
See explanation below.
Explanation:
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Hope this Helps!! Have an Awesome Day!!
Ok yeaa
sure we can do it
The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.
<h3>What are the rules for Ratio Test for Convergence?</h3>
The rules are:
- If the limit is less than 1 when conducting the ratio test, your series is definitely convergent.
- The test is inconclusive if the limit is equal to 1.
- The series is divergent if the limit is greater than 1.
Using this knowledge, we are able to state that
- A is not conclusive.
- C's convergence is absolute.
- There is divergence with D and E.
- B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.
The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.
Please see the attached for the full question and the link below for more about Ratio Test for Convergence:
brainly.com/question/16618162
