One weekend Drake and JaMarcus mowed lawns to earn spending money. Together they earned 15.50 an hour for 15 hours of work. Each
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Answer:
The limit of the infinite series is equal to zero.
The nth term test is inconclusive ∵ the limit is equal to 0.
By the Comparison Test, this sum diverges.
General Formulas and Concepts:
<u>Calculus</u>
Limits
- Limit Rule [Variable Direct Substitution]:
Series Comparison Tests
- nth Term Test
- Direct Comparison Test (DCT)
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Find Convergence</u>
- [Series] Define:
- [Series] Set up [nth Term Test]:
- [nth Term Test] Evaluate limit [Limit Rule - VDS]:
- [nth Term Test] Determine Conclusiveness:
Therefore, the nth term test is inconclusive and another test must be done.
<u>Step 3: Find Convergence Pt. 2</u>
- [DCT] Condition 1 [Define comparing series]:
- [DCT] Condition 1 [Test convergence of comparing series]:
∴ since the comparison series is divergent, then our original series is also divergent according to the Direct Comparison Test.
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Learn more about limits: brainly.com/question/26091024
Learn more about Taylor Series: brainly.com/question/23558817
Topic: AP Calculus BC (Calculus I + II)
Unit: Taylor Series
zeros of 2x^2+17x=-21 are (-7;0) and (-1,5)
P.S. Hello from Russia
Answer:
AM = 4
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
AM = × 12 = 4