converges or div rge 2n+ Sinln)

Q: sin[(2n-1) Does Σ-1 converge absolutely, non-absolutely, or diverges.

A:

Q: limit as n approaches infinity of (1-n)/(3n+5)

A: Let's find.

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

A:

Q: If dn conditionally converges then Jan| converges. 2=1 2=1 True False Rationale: Reset Selection

A: We have to find the option

Q: converges to 0 Select one: True False

A:

Q: (n+2) 5" 23n n=1 diverges converges

A:

Q: /tangent slupe rosin (20) when 5 2) 553 る 653 O not of thc above

A:

Q: Using Sandwich Theorem, the sequence 2 = 4 – - Cos2 n +1 n³ converges to 4 converges to 2 diverges…

A:

Q: converge absolutely, non-absolutel

A:

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

A:

Q: Prove that or quari -1+ X.- ズい 2. X. ntl converged number Ja to 2.

A:

Q: If > an converges then an converges.

A: Absolutely true.

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

A:

Q: Find the point wise limit of the sequence &{fn} the sequence {fr} Where Sin nx In (x) = √n if tay J…

A: Here we use basic limit property

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

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

A:

Q: Determine whether sec(0)de converges and, if

A: Topic:- application of integration

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: converges or diverges. I-

A: We have to find out the given series is convergent or divergent. If the series is convergent then we…

Q: Determine i it convergcs or dverges. Evaloate if converges oo dv 2.

A: We have given,

Q: > The sequence {sin)} is n31 (i) Converge (ii) Diverge

A:

Q: 8n Show that fn (x) = x2" – x" is unfiormly converges or not by using uniform norm

A: The given function is  fn(x)=x2n-x8n We show that the function is uniformly converges or not by…

Q: Evaluate an improper intergral. determine whether its convergent or divergent. 2 through infinity…

A:

Q: IV. Determine if the given is convergent or divergent. sin(2 tan-1n – TI) Σ (2 tan-1n – Tt) #3. n=1

A: Given : The given series is ;  ∑n=1∞un = ∑n=1∞sin2tan-1n - π2tan-1n - π To find : To check whether…

Q: Use series to evaluate the limit. 4 3 sin(2x) – 2x + lim 4/3

A: Given problem:-

Q: If an> 0 and Σ an converges, then Σ(-1)"an converges.

A: We have to check wheather it is true or not

Q: (2-dz using limit of the Riemann sum.

A:

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: 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: 26) ) Show that the reductión formula for 1ー2 Sec" ndx = Sec atan n t n-2 n-- n-1 ) Hence use tta…

A:

Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: Finel Sequence s+ aj sove both limits .

A: Take a sequence, aj=-j2j is rational0j is irrational Then the limit for j rational is,…

Q: Using Sandwich Theorem, the sequence 2 1. an = 4 sin? 3 %3D n + 1 converges to 0 converges to 2…

A:

Q: (5) Use sequence theorems to prove that lim0 sin() does not exist and that lim,-0 x sin(-) does…

A:

Q: 2k と(+ 1) converges. Use the integral test to determine whether k-1

A:

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: Converges absolutely Burame

A:

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

A:

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

A:

Q: Σ converges/diverges N! 9) Show that

A: Ratio test

Q: Please poove 18 ŏ bound of (३5) fश्ठ also proove ppes an sup13,5)%35

A: (.) Upper bound:    "A number that is greater than or equal to any number in a non-empty subset of ℝ…

Q: an conditionally converges then Jan] converges. n=1 n=1 True OFalse Rationale: Reset Selection

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: +00 2 -1)"+1(3n)! 3n+1

A:

Q: 4n2 Tantel show whether (an )Cconverge diverge or

A: Given : The given series is :  ∑n=1∞un= ∑n=1∞4n29n4+1. To find : We have to find whether the given…

Q: (A) 100 E (-1)" cos IT Determine whether converges or diverges In=1

A: The given series is ∑n=1∞(-1)n cosπn We have to check the first limit of nth terms is zero or not.…

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

A:

Q: Sequence which Converges 1P, where not in any Space L,where 1sp% td. to (space l) Find a to. but is

A: The objective is to find a sequence which converges to 0 but is not in any space lp, where…

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

A:

Q: Show whether or not fn(X) =sin (x/n) is pointwise convergence

A: