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
Answer:
y = 3x+5
Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The completely factored form of the expression can be written as,

Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).
Learn more about Expression:
brainly.com/question/13947055
Chair 1.25 table 6.25 the process is shown in the following picture