fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

Q: +00 1 9n? – 18n + 8 n=1

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Q: If ∑x_n and ∑y_n are convergent, show that ∑(x_n + y_n) is convergent.

A: The objective of this question is to prove that if the series of x_n and y_n are convergent, then…

Q: Determine whether each of the following sequences convergent, justify!, is (@) (X₁) where I : =…

A: (a) The given sequence is . Since  is a bounded sequence and .Then Hence the sequence  is…

Q: (6) Let {an} be the sequence defined by an+1 = √6an 2, a₁ = 1. Show that {an} is converger and find…

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Q: If the sequence {a}, is convergent, then the sequence {x} defined by a₁+as+as++an-stan is also…

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Q: 00 っ 6)2 _タ? n=ノ

A: Given that, ∑n=1∞enn2    Let ,an=enn2 limn→∞an=limn→∞enn2 Applying L'Hospital rule,…

Q: 18(3")+ 18 12(5") lim

A: Given data is : limn→∞183n+18125n Determine is the sequence divergent or convergent. If it…

Q: Which of the sequences whose nth terms appear converge, and which diverge? Find the limit of each…

A: We find the limit of the an th term. limx→∞(an)=limx→∞1+(-1)nn=1+limx→∞(-1)nn=1+0=1

Q: help pleae

A: Step 1:   Step 2: Step 3: Step 4:

Q: 3. Determine if the sequence xn = 47² is convergent or not and find its limit if it exists n²+1

A: We want to find the given sequence is convergent or divergent.

Q: is convergent to

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Q: Q1/ Is the sequence {a,} converge ? an

A: We have to find that given sequence is convergent or not . Find the limit of the sequence at n tends…

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: A True B False If the sequence {a}, is convergent, then the sequence {x} defined by…

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Q: 1 3 .5 4 X +x

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Q: Determine whether Σ(-1)^-1 is convergent. 1 √n +3 n=1 rk in order to roccio full in utiol onadit

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Q: Q1/ Isthe sequence {a,} converge ? († - ) -

A: If a sequence converges to some limit, then it is convergent; otherwise it is divergent.

Q: A sequence that does not have any convergent subsequence

A: We find a sequence that does not have any convergent subsequence.

Q: Can you further share how to find a convergent sequence

A: Given sequence  by  Here we consider two subsequences .Noted that A sequence  is convergent   are…

Q: Find ai for the sequence with generating function, 1-x 1 x x

A: Simplify the generating function.

Q: (1) 8 n=1 n³+n²

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Q: Determine whether ∞∑n=1√n / 2n2+n+5 is convergent.

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Q: (5) Let' (1) : r² + 7x + 12. S(z) dr (a) Use a comparison test to show that. A B converges. S(x) (b)…

A: Introduction: An improper integration is an integration where the integrand is undefined in one of…

Q: 9) n+3"

A: Comparison test for series of positive terms states that, If an, bn are two series such that…

Q: Determine whether aedx is convergent or divergent.

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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.