Test the series below for convergence using the Ratio Test. n+ 3 54n +3 n=1 The limit of the ratio test simplifies to lim |f(n)| where fln)

Q: Test the series below for convergence using the Root Test. ( 2n +5 3n+3 The limit of the root test…

A: Root Test : For a series ∑f(n) ,  1. if limn→∞f(n)1/n<1 then the series is convergent and 2. if…

Q: Test the series below for convergence using the Root Test. Σ 5n + 1 4n + 2 n=1 The limit of the root…

A: |an|^(1/n) we have to find in root test. And if that limit less than 1 then converge. It greater…

Q: Test the series below for convergence using the Ratio Test. n2 0.6" n=1 The limit of the ratio test…

A: To solve the following series problem

Q: Test the series below for convergence using the ratio test. n2 Σ 1.5" n=1 The limit of the ratio…

A: f(n)=n2/1.5n

Q: Use the Ratio Test to determine if the series converges or diverges. 0* 4"n² n=1 n! a. The limit of…

A: Given : ∑n=1∞ 4nn2n!To check whether the given serie is convergent or divergentLet an=4nn2n! ;…

Q: Test the series below for convergence using the Root Test. n 8n? 10n + 5 n=1 The limit of the root…

A: Given series is ∑n=1∞8n210n+5n Here  an=8n210n+5nan1n=8n210n+5 Take , f(n)=an1n=8n210n+5

Q: Test the series below for convergence using the Ratio Test. (- 1)"92n+1 Σ (2n + 1)! n=0 The limit of…

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Q: Test the series below for convergence using the Root Test. 10n 5n + 4 n=1 The limit of the root test…

A:

Q: Test the series below for convergence using the Root Test. 2n + 6 4n + 2 n=1 The limit of the root…

A: Root Test : Consider the positive term series ∑ an . Define ,             L = limn→∞ an1n  , then(i)…

Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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Q: Test the series below for convergence using the Ratio Test. 10" n! n=1 The limit of the ratio test…

A:

Q: Test the series below for convergence using the Ratio Test. (-1)"42n+1 (2n + 1)! Σ n=0 The limit of…

A: Given :∑n=0∞-1n42n+12n+1!

Q: Test the series below for convergence using the ratio test. n+ 2 24n +1 n=1 The limit of the ratio…

A: Given: ∑n=1∞ n+224n+1where f(n)= n+224n+1Ratio test : l=limn→∞ an+1anif l<1 then the series is…

Q: Test the series below for convergence using the ratio test. n + 5 22n+1 n=1 The limit of the ratio…

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Q: Test the series below for convergence using the Root Test. Σ 2n 8n + 3 n=1 The limit of the root…

A: Calculate the limit of fn to check if it converges.

Q: Test the series below for convergence using the Ratio Test. n + 6 33n+1 n=1 The limit of the ratio…

A:

Q: Test the series below for convergence using the Root Test. 7n Зп + 3 n=1 The limit of the root test…

A: Given query is to find that Series is converging or diverging.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

A:

Q: Test the series below for convergence using the Ratio Test. n + 5 54n +2 n=1 The limit of the ratio…

A: The given series,      ∑n=1∞n+554n+2

Q: Test the series below for convergence using the Root Test. 5 (5n + 4 2n + 1 n=1 The limit of the…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Test the series below for convergence using the Ratio Test. 2n n! n=1 The limit of the ratio test…

A: According to question,Given series:∑n=1∞ 2nn!

Q: Test the series below for convergence using the Ratio Test. 5 n 0.6" n=1 The limit of the ratio test…

A: Given that: ∑n=1∞n50.6n

Q: Test the series below for convergence using the Ratio Test. 1.4" n=1 The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. n! The limit of the ratio test…

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Q: Test the series below for convergence using the Ratio Test. n+2 n=1 The limit of the ratio test…

A:

Q: Test the series below for convergence using the Ratio Test. 4h n! n=1 The limit of the ratio test…

A:

Q: Test the series below for convergence using the Ratio Test. 2" n! n=1 The limit of the ratio test…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is

Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

A: Given

Q: Test the series below for convergence using the Ratio Test. 0.7 n=1 The limit of the ratio test…

A: By ratio test, we take the ratio of (n+1)th and nth term and if the limit of this ratio still exists…

Q: Test the series below for convergence using the Ratio Test. 9" n! n=1 The limit of the ratio test…

A: The explanation of answer as follows

Q: Test the series below for convergence using the Ratio Test. п! n=1 The limit of the ratio test…

A:

Q: Test the series below for convergence using the Root Test. 8"n3n (7n +1)" n=1 The limit of the root…

A: Solution is given below

Q: Test the series below for convergence using the Root Test. 5n 6n + 4 n=1 The limit of the root test…

A: Answer is following.

Q: Test the series below for convergence using the Ratio Test. n + 4 32n +2 n=1 The limit of the ratio…

A:

Q: Test the series below for convergence using the Root Test. 4n 8n + 2 n=1 The limit of the root test…

A: Given that ∑n=1  ∞4n8n+2n test the series using Cauchy’s root test

Q: Test the series below for convergence using the Ratio Test. n + 3 42n +1 n=1 The limit of the ratio…

A: Solution is given below:

Q: Test the series below for convergence using the Ratio Test. 9n n! n=1 The limit of the ratio test…

A: The given data is: ∑n=1∞9nn!

Q: Test the series below for convergence using the Root Test. 5n2 4n + 5 ) n =1 The limit of the root…

A:

Q: Test the series below for convergence using the Ratio Test. n + 1 53n +3 n=1 The limit of the ratio…

A: The Ratio Test: Suppose we have the series, ∑ann. Then we define L = limn→∞an+1an. i) If L < 1,…

Q: Test the series below for convergence using the Root Test. 5n + 4 2n + 2 n=1 The limit of the root…

A:

Q: Test the series below for convergence using the Root Test. Σ( 10n + 1 The limit of the root test…

A: We have to take the nth root of the expression  for root test. The nth root is: So,    Answer(a):…

Q: Test the series below for convergence using the Root Test. 7n 5n + 2 The limit of the root test…

A:

Q: Test the series below for convergence using the Root Test. 4n + 1 Σ 5n + 3 n=1 The limit of the root…

A:

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: Test the series below for convergence using the Root Test. 3n 7n + 1 n=1 (a) Simplify the radical in…

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Q: Test the series below for convergence using the Ratio Test. ∞∑n=0  (-1)^n 8^2n+1/(2n+1)!   The…

A: Test the series below for convergence using the Ratio Test.   ∞∑n=0 (-1)^n 8^2n+1/(2n+1)!…

Q: Test the series below for convergence using the Root Test. 6n? 4n + 4 n=D1 The limit of the root…

A:

Q: Test the series below for convergence using the Root Test. 4n (1T0n +2) n=1 The limit of the root…

A:

Q: Test the series below for convergence using the Ratio Test. 3n п! n=1 The limit of the ratio test…

A:

Q: Test the series below for convergence using the Ratio Test. n2 0.8 n=1 The limit of the ratio test…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.