The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Answer:
-1
Step-by-step explanation:
The company would charge $837.50 to build the fence.
Installing a fence would cost $62.50 per hour.
It will take 13²/₅ hours to install this fence.
The cost would be:
<em>= Cost per hour x Number of hours taken </em>
Number of hours it would take should be converted to improper fraction to be multiplied:
13²/₅ = 67/5 hours
Cost is:
= 62.50 x 67/5
= $837.50
In conclusion, it would cost $837.50 to build the fence.
<em>Find out more at brainly.com/question/14652608. </em>
To answer this problem, we can use the power rule such that the result of the operations of the powers on the left side is equal to power on the right side. In this case, the right side's power is 200. On the left side, the tentative sum is 60 - 18 or equal to 42. Thus, the remaining exponent to be added on the left side is 158. Answer is x^158
Answer:
Angle ABE = 58
Step-by-step explanation:
This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).
