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

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

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Q: 3 n Inn 2 Wi

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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: Determine whether Ln=1 n2+1 tan- is convergent using integral test.

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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: The improper integral | 1 -dx is (x+2)9 O None Diverges converges to 5 converges to converges to 5…

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Q: Detine s F: [o,0)IR, FCH=2 -tx sinx dx Use Dominated Convergence Theoren and show that: dF -1 eand…

A:

Q: 4 dx

A: Use limit comparison test and p series test

Q: 12. Determine whether the improper integral dx converges or diverges. Show all work.

A:

Q: Determine whether converges absolutely, converges condi- 2" cos n n=0 tionally, or diverges.

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Q: The improper integral 1 dx is (x+2)® -1 converges to 5 converges to Diverges 5 converges to 6 None…

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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: Let fn : [-3, 3] → R be defined by fn(x) = x2n x2n+1 Does {fn(x)} converges uniformly on [-3,3]?…

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

A: Divergent test: If

Q: Determine the convergence of the integral tan x dx. (In(cos x))? COs x

A: The given integral, ∫π3π2tan xlncos x2dx

Q: dx Study the convergence of 1= Solution

A:

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

A:

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: of the given improper in tegrals convergent. are sinz da 1. ース? de

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Q: Determine whether sin r dr. is convergent.

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Q: 1. da is convergent rod

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

Q: 1 dx et+ e

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Q: sec?x dx 1- tan x b. Determine whether the integral converges or diverges.

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Q: ∑ ∞ n=1 sin(1/2n) − sin (1/2n + 1). Does this converge or diverge? I believe it diverges by direct…

A: The given series is: ∑n=1∞sin12n-sin12n+1

Q: -dx converges or diverges. Justify your claim. determine if the integral 1+ cos? r

A: Introduction: When the integrand becomes discontinuous at any of the limits of the given…

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: | In (a²) da -1 |

A:

Q: 1 Test the convergence of fsin x dx.

A: To check convergence of given integral use comparison test of integrals. Comparison test: For two…

Q: CK Show whye* dx does or does not converge.

A:

Q: of Eca 4 is cenvengend can we conclude that cach of these are convergent: (b) E cn (-4)^ ca)

A: Given that ∑n=0∞Cn4n is convergent.

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: n.Sin (t Converges or diverger

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Q: Test the convergence of sin dx.

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

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Q: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

Q: rmine whether sin z is convergent.

A:

Q: value of for which Are there cmy value f converges.

A: We know that a series is said to be convergent if the sequence of its partial sums converges. Using…

Q: Q- If trignometic [-A,7], then it is sexies. sexies converges. uniformly on fourier

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Q: The double integral; ) dA Sin(x2+y², (4+X2+42)- 2. is it convergert this regon; Conu in {x20,y>OS

A: Now, we need to verify the convergence of the above integral.

Q: x° sin(x³) In(4 + cos(x³)) if x 10° ya. 00 Determine whether or not the improper integral dx…

A: We have to use comparison test here.

Q: 1) Determine if the following integral converges or diverges. If the converges determine its value.

A: we use integral test to find out converges or diverges

Q: dt 1) Show that converges. (Hint: Write as two integrals, from 0 to 1 and from 1 to ∞)

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

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Q: the improper integral dx convergent or divergent? If it converges, find out to what it converges.

A: Given query is to find the value of the integral.

Q: SELECT A tan(3/2") A) converges B) 2 tan(3/2") 2 = tan(3) hint: tant = tant tan(21)

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Q: Show that the zeta faunction converges. uniporialy for Recs) >L S=xtiy

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.