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.
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Answer: 34%
Step-by-step explanation:
Given
Price is marked down by 60% with an additional discount of 15% on the marked down price
Suppose x is the original price of the item
After marking down, it is

after additional discount it is

Effective discount on the item is

Thus, a person is paying
of the original price
Answer:
donna is 14.5 and emily is 17.5
Step-by-step explanation:
Answer:
x=7.
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Answer:
Price of Caleb's groceries before tax= $6.4
Step-by-step explanation:
Let price of groceries before tax be = $ 
Sales tax % = 2.5%
Sales tax applied = 
Actual sales tax paid = $1.60
∴ 
Multiplying both sides by 100.


Dividing both sides by 25.


∴ Price of groceries before tax= $6.4