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Q: For which values of x does > n!x" converge? n=0

A: To Determine: for which value of x does converges? Given: we have a power series  ∑n=0∞n!xn…

Q: Does diverge? If it converges, find the value. xe da converge or

A: ∫0∞xe-x2dx

Q: Use the ratio test to determine whether an converges, where an is given in the following problems.…

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Q: Which of the following functions is converge or diverge? +(-1)") n 1 n(In n)² n=1 8.

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Q: Which of the following mfinite senes are convergent? Select all that apply. 100 100+50+25+... 1-D0 2…

A: Which of the following infinite series are convergent

Q: a) Determine if Eº, absolutely converges, conditionally converges, or diverges. ´n=2 n-yn

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Q: The sequence {( an+2 )"}1 n=1 O diverges converges to Je3 converges to e None converges to Je?

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Q: et For which values of p does converge? (1 +e2*)P

A: Given:∑n=1∞ex1+e2xp

Q: Use the root test to determine whether >a, converges, where An is as follows. n=1 332. a, = n/ e"

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Q: nst. . Decide whether the fo lowing is convergent In the con ver or ०१en1 ९ase ८a्रlवnee ५e 6+1)4"+…

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Q: Determine if the integral I dr converges? TO2 - 9

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Q: What are all of the values of x such that (-1)"+1 Σ (3)" converges?

A: The ratio test states that: if L < 1 then the series converges absolutely; if L > 1 then the…

Q: Try to use the ratio test or the root test to determine if the following converge or diverge. If the…

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Q: Use the definition to show that dx 2x2 converges.

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Q: State whether the sequence an = sin converges and, if it does, find the limit. a) Oconverges to 1 b)…

A: If f is continuous and {xn} converges to x. Then f{xn} converges to f(x).

Q: For what values of r does the sequence {rn} converge? Diverge?

A: Concept used: The mathematical expression of infinite geometric series in general is written as…

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Q: Suppose that the sequence {an} converges to a, where 0 < a < 1. Prove that the sequence {a}…

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Q: Determine i it convergcs or dverges. Evaloate if converges oo dv 2.

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Q: Which test to use and is it convergent/divergent? 1 Σ Z 16n2 – 8n – 3 n=1

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Q: Determine if the following converge or diverge.

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Q: O Find the interval of convergence for the following power seu * (x +3)"

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Q: Use the root test to determine whether . converges, where an is as follows. (1 + Ink)*

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Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

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Q: determine if The fenes Converget, E Converges, fınd The fum it

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Q: Prove that 「+ X,- ズー 2. 71 ,nyo converged number J2 ヒo

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Q: Show hat he following a sen) lun vergıs for any p> e (-1)" Σ nニ」 for whar value) of p is it…

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Q: Test the following sevies Por being convergent or divergent. n+3 s (-リt) (-1) n(nt1)

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Q: Determine whether the seauence converges or diverges. If it conveges, find the R lo0?+nl00+(nn) 00…

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Q: Using the limit comparison test, determine whether this converges or diverges

A: Now we will solve it using limit comparison test.

Q: etermine whether the following is convergent or divergent and j

A: Given that,

Q: 00 Q5. Evaluate , e z dx if it converges.

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Q: State whether the following converge as n → 00; if yes, find the limit. Justify your answer. (а)…

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Q: +00 3 E(-1)"+1, n n=1

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Q: Show by example that E(a,/b,) may converge to something other than A /B even when A = equals 0. Σαν…

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Q: The Ratio Test can be used to determine whether O True O False converges.

A: Given ∑1n3

Q: n! Use the ratio test to determine whether E=1 converges or diverges.

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Q: o Inx 2. For p>1, is S, dx convergent? 1 xP

A: It is the improper integral of first kind , limit of integration is infinity. There is so many test,…

Q: Determine f the sarles 1 ヘ-3 diverges? converges or

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Q: Write the first five terms of p_j= 1/j and then prove p_j converges to 0. explicitly write the…

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Q: Use the ratio test to determine whether a, converges, where a, is given in the n=1 following…

A: ∑n=1∞23n(n!)3(3n!) For ratio test, L=limn→∞an+1an

Q: Perform a testto determine if. S a J y converges diverges or

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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.