if 0, dx converges to 1 then c= се O a. -3 O b. 3 O c. 1 O d. -1 3 1/3

Q: dæ x-1 1

A: Solution: The objective is to find whether the given integral converges or not

Q: The o dx, p > 0 Select one: None of these Converges for p > 1 and diverges for 0 1 and converges…

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Q: 1 E(-1)"+1, ( n + 1 ) . 3η n=1

A: To find whether converges or diverges

Q: I need To find a Sequence of functions (m c^(E-!, 13) That is cavchy Cuith Il ) and does not…

A: Given: C1-1, 1 To find: A sequence of functions in C1-1, 1 which is Cauchy but not convergent in…

Q: nyn+1 n=1 O converges O diverges

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Q: (1 – x + x²)y" – (1 – 4x)y' + 2y = 0.

A: Given differential equation is (1-x+x2)y''-(1-4x)y'+2y=0               (1)y(1)=2, y'(1)=8 Let the…

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A: Given series is: ∑n=1∞n-126+cos2n

Q: (x + n)² Show that h„(x) converges poimtwise to f(x) = 1, V x e [1, 00). %3| x² + n²

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Q: Determine whether or not the infinite series below converges.

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Q: dx converges and, if so, to what. 49. Determine whether J = | E/1* I-

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Q: B){(sin(x))/x

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Q: PART III: Decide whether each of the following converges absolutely or con- ditionally. Justify your…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: If fº dx converges, then which of the following must be xP true? Select one: а. р <0 b. E Ln=1 n…

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Q: For what values of p does xP dx converge?

A: Convergence and Divergence: When the limit exists and its value is a finite number then it is known…

Q: Solve Σ 0 to ∞ ((n! • x^n)/ n^n) for x = e and x = -e and explain whether each point converges or…

A: Solve for x = e and check whether it converges or diverges as follows.

Q: 6+ cos (7x) Perform a test to determine if x converges. T/ 7 00 5 dx X II

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Q: Q3) The sequence a, = 1 - (0.2)" a) converges to 0 b) diverges c) converges to e d) converges to 1

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Q: 16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: +00 4+ cos n 3n - Vn n=1

A: To find the given series be convergent or divergent .

Q: Find the limit of the series Σ[(i+1)/4i] where i goes from 0 to infinity.

A: Note:

Q: sin(²) En=1 is 18 √n a. 1 b. 12/12 c. Converge d. Diverge d O C O a O b O

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Q: Σ Suppose that ax" converges to a function y such that y" – 2y' + y = 0 where y(0) = 0 and y'(0) =…

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Q: E (n!)² (K)! Fan what e is convergent ?

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Q: dx -x 2-x Select one: O a. diverges to -x O b. diverges to x C. converges to -In(6) O d. converges…

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Q: QUESTION 6 Let fo(x) = nx2 +5 for neN and x ER 4n +3 1. Show that (f.(x)) converges uniformly on [ -…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (2+x) y" + (2 + x) y' + y = 0, y(-1) = –2, y' (–1) = 3

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

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Q: Question 5 Converges to a. 2 Ob. Diverges None с. Converges to d. 1一2

A: For an integral ∫cdf(x)dx which exists for all values greater than c; it can be stated…

Q: d 23 a Show that dx :(-{e-*(sin x + cos x) ) = e¬* sin x. N. 00 b Find e* sin x dx, and show that…

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Q: 6. S o Inx dx Evaluate it and state whether it converges or diverges. 1 х2

A: Given: I=∫0∞lnxx2dx

Q: 8+ cos (7x) Perform a test to determine if x converges. 3 n/7 9 dx x3 1/7 (Type an exact answer,…

A: Given integral :

Q: ca, is convergent. is an convergent and c is a nonzero constant, then If n=1 n=1

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Q: For what values of x does the series E-1 n=1 x21+3 12² converge?

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Q: For which values of p does E=1 (1+eon)4p converge?

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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: *5 dx converges, then which of the following must be true? elect one: 2 a. En-1 converges. O b.p< 0…

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Q: Match each of the following with the correct statement. C stands for Convergent, D stands for…

A: To answer the given questions we shall use the following tests  Comparison test: Let ∑un and  ∑vn be…

Q: dx and state whether it converges or diverges.

A: Given that a infinite integration and we find it is converges or diverses. We know that Converse…

Q: Q3) The sequence a, = 1 - (0.2)" a) converges to o b) diverges c) converges to e d) converges to 1

A: Given an=1-0.2n

Q: n! +5) A) diverges cos 40320 B) converges

A: We will apply Ratio test to check convergency

Q: Which of the followings are false? 1. 1. E sin converges by comparing with II. E Ln=1 n2 れ=1 n! n=1…

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Q: 2) To what number does E-L T Converges? (-3)" m=1 gn+T

A: Given expression is ∑n=1∞-3n5n+1. Let the given series be ∑n=1∞un . ⇒un =-3n5n+1…

Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

A: As per bartleby guidelines we only give first question answers.

Q: 6) If an converges, then n=1 a) E converges. n=1 b) lim an = 0. n00 00 c) E(an)² converges. n=1 d) E…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: +00 1 dx xln*(ex) 4 e

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Q: dx is convergent a) true b) false O b

A: The given integral is: ∫1∞1x2dx To find it is convergent or divergent. The integral is convergent if…

Q: -dx converges ex - e- Select one: O True O False

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Q: {au, ) IL x y² dx dy Q4-A) Show that the sequence B) Evaluate : ah (sinn)}, +sinh( converges to (1).

A: Given