Q1-) Determine whether the following functions are convergent or divergent: 1 1- En=1 ((3n-1)*/ cos2n

Q: 2. Determine if S dx is convergent or divergent. x²-x

A: In this question we have to determine if this integral convergent or divergent. If limits exists…

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

A:

Q: QDTest for convergent and divergent : (show your work) e-2 1. ΣΟ-1 n+cos²n

A: answer : this is divergent

Q: Enter its finite) value if its 5. a) I5 the generalised integral convergent or divergent?…

A:

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

A: Answer

Q: (6.6] Determine whether the following integral is convergent or divergent. If it is 10 convergent,…

A:

Q: 1 dx x² +7

A:

Q: 4 dx

A: Use limit comparison test and p series test

Q: Determine whether the integral is convergent e-2P dp convergent divergent If it is convergent,…

A:

Q: dx 2. x +1 -1

A:

Q: Ve dx is convergent or divergent. Evaluate if convergent. Determine if x²

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: 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: Determine whether the following seqence converges or diverges: {(3x^2+1)^1/ln(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: Determine why dx converges or diverges.

A:

Q: 1. Determine if the infinite integral is convergent or divergent dx x² + 2 - 2

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost the other…

Q: 1 3 .5 4 X +x

A:

Q: Determine whether the integral is convergent or divergent. x² V6+x³ [ convergent Ⓒ divergent If it…

A:

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

A:

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

A:

Q: Perform a test to determine if it converge or diverge -1 x 2sin 1 dx 1– x -1

A: The function is given by: ∫-112sin-1x1-xdx If the function fx=2sin-1x1-x is positive, continuous and…

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: Determine whether dx is convergent or divergent. If it is convergent evaluate the integral Vx 3. 4…

A:

Q: Determine whether the integral is convergent or divergent. e-vy dy convergent divergent If it is…

A: Here is the solution of the given problem.

Q: [6.6] Determine whether the following integral is convergent or divergent. If it is convergent,…

A:

Q: Determine if the integral o 1acaz da is convergent or diver- gent. If it is convergent find its…

A:

Q: find if diverges or converges. if converges, then find its limit cos²(8n) An 8n-1

A: Given - an = cos28n8n - 1 To find - find if diverges or converges. If converges, then find its…

Q: EXAMPLE 1 Determine whether the integral below is convergent or divergent. -dr 4.x

A: We need to apply the limits to show that the integral is divergent.

Q: Determine whether the integralis convergent or diverguot. Tonvergent O divergent t is convergent,…

A: We use substitution method to solve this integration

Q: Determine whether the following integral converges or diverges. Be sure to use proper mathematical…

A: We have to check the given interval is convergent or divergent.

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: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

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: 0o COS 17. Determine whether 2 converges or diverges. Evaluate it if is convergent. dx 18. Determine…

A:

Q: Determine whether the integral is convergent or divergent. dp d8- convergent O divergent If it is…

A:

Q: Determine whether the integral is convergent or divergent. el/x dx convergent divergent If it is…

A:

Q: Determine whether the integral is convergent or divergent. 9e-y/2 dy convergent divergent If it is…

A:

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

A:

Q: 11 dx Determine whether is convergent or not. (3 – x)2/3

A: As the value of Integral is finite, it converges.

Q: If 2 Cnx" is convergent when x=2 and divergent when x--3, then 2 c,5" n = 0 is n= 0 divergent. O…

A: this is inconclusive because if it converges for x=2 than  converges only the values less than 2 but…

Q: 1 -dx x* cos

A:

Q: Determine whether  0∫∞ e-2xdx   is convergent or divergent. If it is convergent state what value the…

A:

Q: 1 ·dx (х + 1)2 -2

A:

Q: Determine whether the integral is convergent or divergent. xp x2 + x - 12 convergent O divergent If…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.