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Q: tan (x) +n In(n+2) 04: Determine the convergence of , on A=[0,+).

A: given fn=∑n=1∞tan-1xx2+n2lnx+2  on A=[0,∞) claim- to determine the convergence

Q: Cn an+a2n

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Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: = 1 lim n sin = 1. n→00 n i=1

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Q: the following saries is absolutely Conditionaly converge check iP Conv. or divergent そ(-1) (a!)?…

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Q: What is the value of p = lim+¹ when applying the Ratio Test to assess n→∞an a convergence of? What…

A: Given problem:-

Q: 1. Determine the open disk of convergence and radius of convergence of (-1"n -1 n+1) 1- +... a.…

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Q: What is need of divergence thoerm why we used? Give examples as well

A: The divergence theorem gives the relation between surface integral and volume integrals.

Q: Use the limit comparison test to determine convergence or divergence of the following. 00 3"+3n…

A: The objective is to use the limit comparison test to determine convergence or divergence of the…

Q: End Hhe Point wwise Convergence and show uniFeraly converge ornct ?? X€ Co13

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Q: Here R^3 - {(0,0,0)}. please proof this using submersion. thank you.

A: Given: R3=(0,0,0) To find: The set M=(x,y,z)∈R3:x2+2y2+z2=4xyz a submanifold of R3.

Q: test the follown divergence or 1. nin2n n=2

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Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: b) Evaluate va (do your calculations for particular a as above Jalso by using Newton Raphson method…

A: b)  let  x=a   ⇒ x2=a   ⇒x2-a=0    f(x)=x2-a=0    f'(x)=2xNewton Raphson method…

Q: Q1. Test the convergence and divergence of the foliowing: ninl Inn 6. Σ %3D1 71 (comparison test) 8.…

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Q: Determine the interval of convergence and radius of convergence of the given power scrics (r–1)" n=1

A: The given power series is: ∑n=1∞(x-1)nn2n We have to find the radius of convergence and interval of…

Q: Is the fo llowing mtegral conuergent or divergent ?

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Q: Let fn(x) = sin" x and let 8 > 0. a) Prove: fn converges uniformly on [0, 5 – 8], but not uniformly…

A: The given function is fnx=sinnx. To find: (a) fnx=sinnx uniformly or not on given domains.…

Q: Show if the following question converge or diverges

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Q: O which of the following Is true? a)E nCat2 is divengent 4" OE nt Inn is convergent ne Inn d) is…

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Q: 25) Find tue intervel of Canvergencce (e~-sg" :::: (x~3) g fue power seriag n-l n=0 (Be Sure to…

A: Given series is ∑n=0∞(x-3)n-13n-1

Q: 8. 2. Let an be convergent with an > 0 for all n. Now consider (an). n=1 n=1 a) Explain in words why…

A: a) Given that series an is convergent with an > 0.

Q: 4 establish the convergence of dwergence of the following sequences (a) x₁ = 2^²+₁ = x + 1 nti (b)…

A: We have to establish the convergence or divergence of the given sequence.

Q: determine the domain AND the function to converge the serie e converge la serie: E=0 Re(u). n%3D0

A: Consider the given series

Q: Q. By c/2silon definition , check the convergenie of fallowing sequenies the =

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