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

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

A:

Q: Does / dx converge or diverge? Justify. -7 0, x' + x'

A: Plot the graph of the function.

Q: allsweCI -5e" dx converges 4x to

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

A: ∫0∞xe-x2dx

Q: 1 dx is convergent True False

A: Definite integration

Q: Find the rate of convergence for lim h-0 sin h - h cos h2 0.

A: Given that limh→0sinh3-h3cosh2h=0. The rate of convergence can be calculated by evaluating the…

Q: Q6) Determine whether the improper integral | dx is convergent or divergent. In your work, use 1…

A: Answer

Q: Determine if +∞o 5 dx √x-1 is convergent or divergent.

A: Solve the improper integral then using expansion at infinity solve limit

Q: dx 1. 00 (2x-1)3

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Q: WNII sin 2 7) Show that 4 VN converges/diverges.

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Q: 4 dx

A: Use limit comparison test and p series test

Q: sin (nx + 3) f (x) = is convergent point wise to zero function. %3D n – 1 ylgn O İhi

A:

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

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Q: Determine whether the integral is convergent or divergent. dx x - 1 convergent

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

A:

Q: dX 2) Show that ? Xe converges/diverges.

A: SOLUTION-

Q: 1 n4 + sin“ n=1

A: To find that the given deries diverges or converges

Q: Determine if convergence or divergence. 4 -dx xln?x |

A: Given that some integration we solve this integration by using general formulas of integration. Here…

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

A:

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

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Q: A)(sin x)/ is convergent or not B){x} is convergent or not

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Q: Determine why dx converges or diverges.

A:

Q: Determine if  ∫3-2(1/x^3)dx  is convergent or divergent.

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Q: 59. Show that 1- sin x dx converges. x? 00

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Q: Determine whether sin r dr. is convergent.

A:

Q: 1. da is convergent rod

A: Consider the given integral: ∫1∞1x2dx To test the convergence of integral. Solve the following:…

Q: sin (nx +3) S,(x) =- is convergent point wise to zero function. %3D п - 1

A: First one is true second is false.

Q: 6 Jlgul sin (nx +3) 1,(x) =- is convergent point wise to zero function. n-1 ylgn O Ihi O

A: Calculate limn→∞fn:  limn→∞fn=limn→∞sinnx+3n-1             =0

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: Use the Comparison Theorem to de x + 1 36 dx Ji O convergent O divergent 8

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Q: sin² x -dx converges 8.

A: We will use comparison theorem here

Q: 2+cosx 1. Use the comparison Theorem to determine whether dx is convergent or divergent

A:

Q: dx To determine if converges or diverges, it would be useful to compare the integrand directly to 1

A: Given integral ∫2∞dxx2-1   We have to find it's converges or not . We just use comparison test to…

Q: (4)When estimating the root of the function f(x) = (x− 1) ^2 lnx  and using Newton Method, find the…

A: Consider the given function,

Q: When is an integral convergent or divergent?

A: An integral is convergent if the value it gives is finite. This can also be said as if the output of…

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

A:

Q: rmine whether sin z is convergent.

A:

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: 1 -dx x In*(ex) 1. e

A: Topic = Integration If the limit exists and is a finite number, we say the improper integral…

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

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Q: n sin"(n) :) has a convergent subsequence. Vn2+2n Show that (an) = (-

A: Consider the sequence an=nsinnnn2+2n We have to show that sequence an has a convergent subsequence.…

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: Find J Ta-xdx

A: Given integral is ∫x1−x23dx. We have to solve the given integral. Substitute 1−x2=u…

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: Does ∞ ∑ ((sin^2)(n)/(2^n) n=1 converge or diverge? Use any method and give reasons for your…

A:

Q: - Show that sin converges. Hint: Use sinx <x for x 2 0.

A: Given: The series ∑n=1∞sin1n2, To show:  The given series is convergent.

Q: 7. Determine if f In (x") dx is convergent or divergent. Justify your results.

A: Note:- We are entitles to solve the first question, unless specified. To determine:- ∫0eln(x2) dx is…

Q: 1+sinx dr dx 8. Use the Comparison Test to test for convergence.

A: