sin² x -dx converges 8.

Q: sin N 8) Show that converges/diverges.

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: The given integral is ∫-1216x-13dx. We also know that ∫xndx=xn+1n+1.

Q: How to prove {sin(n)} is a bounded seuqence that does not converge?

A: To prove xn=sinn is bounded. By definition, a sequence xn is bounded if it is both bounded above and…

Q: 2 sin x+1 dr 3 -dx +1

A:

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

A: ∫0∞xe-x2dx

Q: Can the iteration xn+1 = cos (xn) be used to find the solu- tion of the equation cos (x) – x = 0 in…

A: Solution is given below

Q: (b) Apply Secant method to find a root of the equation In(1+x)- cosx = 0 (0,1). Perform three…

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Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

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Q: Determine whether the improper integral diverges or converges. 26 15 dx converges diverges Evaluate…

A: To check the integral converges or diverges

Q: 1 dx x² +7

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Q: 4 dx

A: Use limit comparison test and p series test

Q: Which one of the following methods always converges while finding the root of f(x)= 0.

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Q: 9. Evaluate the following integral and state whether it converges or diverges. xe dx Check your work…

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ')…

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Q: 10. Determine whether | sin(x)dr converges or diverges. If this improper integral converges,…

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Q: cos NII 2) Show that converges/diverges.

A:

Q: Determine if the integral * 1+sin² # dx is convergent or divergent.

A: We can determine if the integral ∫1∞1+sin2xxdx is convergent or divergent using comparison test.…

Q: 1 n4 + sin“ n=1

A: To find that the given deries diverges or converges

Q: cos NII N 2) Show that converges/diverges.

A:

Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: The given integral ∫0∞2e-2xdx can be evaluated as, ∫0∞2e-2xdx=2e-2x-20∞…

Q: Determine, with justification, whether the integral below converges or diverges. dx x15-|sin a|…

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Q: converges or diverge 2n+ Sin(n)

A: The given series is  ∑n=1∞    12n+sinn We have to check whether the series converges or diverges.

Q: (b) Use the comparison test to determine whether or not the integral +00 1 x4 + ex dx converges.

A: We have to determine whether the following integral converges or not by using comparison test :…

Q: Use the comparison test to determine whether the integral below converges or diverges. Make sure any…

A: Note sin2x≤1 so exsin2xe2x+3+x2≤exe2x+3+x2.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

A: The given integral,      ∫011dx11-x

Q: Does sin () x 7 converge or diverge? Why?

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Q: .Does 00 sin? (n) 2n n=1 converge or diverge? Use any method and give reasons for your answers.

A: Here for the series we use Dirichlet’s Test:

Q: Find the values of p for which the Integral converges. (Enter your answer as an inequality. 25…

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Q: 37. Show that sin converges. Hint: Use sin x 0. n=1

A: To  show ∑n=1∞sin1n2 converges using sinx≤x forx≥0.

Q: Find the exact value that the sequence sin" 1 converges to. (Note that as usual, sin" x means (sin…

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Q: Vn +1- n –1 n=1

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Q: Use series to evaluate the limit. sin 2x? lim 1- cos 3x

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

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Q: n.Sin (t Converges or diverger

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Q: prove convergence or divergeence A) is similar to E by using the Limit Comparison Test tan B)…

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Q: 00 +8 dx converges. Perform a test to determine if - 00 x° +8 Does dx converge or diverge? .9 1…

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Q: cos (%) 00 2, n=1 n' +4n

A: cosx=1-x22!+x33!-x44!+---    ∑n=1∞1np  converge if p≥2 Given  ∑n=1∞cosn2n2+4n

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x)…

A:

Q: use Series to evaluale lim sinhx²- x 2 メー→ メ Cos x 3.

A:

Q: rmine whether sin z is convergent.

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Q: Check whether the improper integral 2x dx converges or not. (12+1)

A: Thanks for the question :)And your upvote will be really appreciable ;) It converges

Q: Find the exact value that the sequence sin" 1 converges to. (Note n=0 that as usual, sin" x means…

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Q: Determine whether 1∫5 4/(x-2) dx is convergent or divergent. If it is convergent state what value…

A:

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

A: Use the ratio test, L=limn→∞an+1an=limn→∞116n+12-8n+1-3116n2-8n-3=limn→∞16n2-8n-316n+12-8n+1-3

Q: X° +4x dx x* +3x² +2 4 2 1

A: Topic :- Integration If the limit exists as a real number, then the simple improper integral is…

Q: Ln=0*

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Q: Use the integral test to determine if E0n2e converges or diverge 3

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Q: Use the integral test to show whether converges or diverges. 3n2-2 Make sure to show that all the…

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Q: 1 + J* -dx (1)

A:

Q: CoS x doc 3-da

A: Use limit comparison test to know the integral value.