By limit comparison test, the series 1 3n 8n+1 n3D1 9n +2 O Diverges O Converges O None of these Neither converges nor diverges

Q: 5k 3 k=1 k4+1 k%3D1 co

A: Follow the steps.

Q: Determine whether the series ₁ (-1)^+¹n/2¹ converges or diverges. n=1

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Q: Determine convergence or divergence of the series. 2n2 +1 Σ n2 + 6n +2 m=1 O Converges O Diverges

A: Given: ∑n=1∞2n2+1n2+6n+2 We know that if the series ∑n=1∞xn converges then limn→∞xn=0.

Q: Determine whether the series k-1 ,0<p<1 converges absolutely, converges conditionally or diverges.…

A: We have to solve given problem:

Q: The Limit Comparison Test says that the series An and bn, with all an > 0 and b, > 0 either both n=1…

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Q: Use the Comparison Test to determine if the series Σ 5n – cos 2n 2 n3 + n² + 1 n=1 converges or…

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or…

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Q: The series E2(-1)"is (i) Conditionally converge (ii) Absolutely converge (iii) (iv) Diverge…

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Q: (b) in the Limit Comparison Test to determine whether the series (u) n2 + 1 n=1 converges?

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 4 n= 1…

A: We will solve problems by comparison test.

Q: Determine whether the series =1(z) diverges or converges. n%=D1 1+n2.

A: Given:

Q: 19. In Example 1 we used the comparison test to show that k3/2 – k –1 5k³ +3 parison test to prove…

A: Convergence is the property of a mathematical object considered as a sequence that is convergent. A…

Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: The infinite series 1)* is convergent. k-1 a) true b) false

A: The given series is an alternating series.

Q: Determine whether the series converges or diverges. n2n Z (1 +n)3n n=1

A: As per the root test for the infinite series ∑n=1∞an if limn→∞an1n is less than 0 than the series…

Q: n² – 5n 4. Use the Limit Comparison Test to determine whether the series converges n³ +n+ 1 n=1 or…

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Q: 6n) converges absolutely, converges + series -1D"(n° 6. Determine whether the se 3 n° +n° +1…

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Q: Determine whether the series ∞∑n=1n / n2−2n−3 converges or diverges.

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Q: 6 The series E is k=0 5k Converges to Diverges None 15 Converges to 2 이5

A: Given the series is ∑k=0∞65k Sequence will be converges if it has finite value. Sequence will…

Q: 2. Determine if the series 3n 1 n=1 converges or diverges.

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Q: Determine whether the series L Tk+ 2)! 7 k! converges or diverges. a) cannot be determined b)…

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Q: n+2 9. Determine if the series converges or diverges using the Integral Test. n=1 n+1

A: To determine: The series is ∑n=1∞ n+2n+1 converges or diverges using the integral test. Concept…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. Σ 3n + 6 n…

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Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or…

A: Use the comparison test to determine the series.

Q: B) Use the ratio test to show that the series o2)" Ln=1 is convergent. 2n!

A: Topic:- limit ratio test

Q: Determine whether the series ∞∑n=13n−1/2n3−4n+5 converges or diverges.

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Q: Σ 1 E=1 u+ 6) (n+7 )

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Q: n2 + 7n + 1 8) Use the Limit Comparison Test to determine whether the series 5n3 + 6n + 2 n=1…

A: We have to test

Q: Find the interval of convergence of the series k(x+ 2)* 5k+1 k=1

A: The given series is: ∑k=1∞k(x+2)k5k+1...(1) Let, ak=k(x+2)k5k+1; k≥1

Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1…

Q: 00 2 Σ V49n 10 n=1 Use the limit comparison test to determine whether the series above converges or…

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Q: Use the limit comparison test to determine if the series converges or diverges. Σ 4n372 - 5n + 3 n=…

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Q: The P-test says that: • the series >. 1 converges ifp? 01 kP k=1 1 • the series > diverges if p ? 0…

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n³ + n² + 1 n=1 converges or…

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Q: The series (k+1)* is k=1 p°k! a) Converges absolutely b) Conditionally convergent c) Diverges d)…

A: Given : series ∑k=1∞k+1kpkk! To determine the convergence of the series and choose correct option.…

Q: Determine if the series converges absolutely, converges, or diverges. [4n +7] E (-1)" In 3n + 6 n=1…

A: The given expression is: ∑n=1∞-1nln4n+73n+6 To determine that whether the series converges or…

Q: Determine whether the series ∞∑n=1n2/n3−3 converges or diverges.

A: Given:

Q: The numerical series 5 + n! 3+ (n+ 2)! (A) is absolutely convergent O (B) is indeterminate O (C) is…

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Q: Use any method to determine whether the series converge. ∞ 1 (2) Σ 4k k=1 The series (5) Σ k=1 The…

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Q: Use the Comparison Test to determine if the series Σ 5n – cos 2n 2 n3 + n² +1 - n=1 converges or…

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Q: Determine whether the series converges or diverges. n2n Z (1+ n)3n n=1

A: Explanation of the solution is given below...

Q: Determine the result of the Ratio Test on the series: (2n)! Σ 1.4 7.10.13. . .. (3n-2) n=1 Converges…

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Q: Determine whether the series converges or diverges (use The Limit Comparison Test) d) n+3 '4n –1 1…

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Q: 1 Determine whether the series > - Σ k (k + 5) (k + 3) converges or diverges. a) converges b) cannot…

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Q: Use the Limit Comparison Test to determine whether the series converges. k7 +8 Σ k8 - 3 k=1 shows…

A: We have to test

Q: 1. Determine whether the series ż 1 2n+1 1 2n-1) converges or diverges by examining the

A: Given series is ∑n=1∞12n+1-12n-1

Q: Use any method to determine whether the series converge. (a) E 6k k=1 The series 1 (b) 6k + 1 k=1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.