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

Q: 30. Σ n=0 (x-4)n n!

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Q: Q6. Find Ca) Radius of Convergence and (b) Interval of Convergence Š 4)^ (x-2)" 3n.Jots

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Q: Q2 Prove that the scries 2+ x2 3+X2 4+x is Unitormly convergem? in any interval?

A: The given series is: 11+x2+12+x2+13+x2+……. Therefore the given series can be written as:…

Q: Help me fast

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Q: 5n 9. Use the L'Hopital's rule to determine if the sequence an = () converges or diverges as limit n…

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Q: false

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Q: radius of convergence is not 1/3. It says 1/3 is incorrect.

A: given series ∑n=1∞2+-1n·x+4n-1 radius of convergence is defined as R=limn→∞12+-1n1n

Q: 1. In this question, you will be using the following trigonometric identities: cos? cos(a + B) sin(a…

A: As per our guidelines we are supposed to solve only first three subparts of the problem. For the…

Q: 7.2. Find the points of convergence of the following sequences of functions. Find the intervals…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

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Q: Decide whether the following proposition is true or false. Provide a justification for your answer:…

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Q: The improper integral 1 xp- (x + 4)4 is convergent. Select one: True O False

A: To solve this question we need to apply the concept of convergence and divergence of improper…

Q: Show that if a&gt;-1 and b&gt;a+1 , then the followingintegral is convergent.

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Q: 5a) Show that the sequence (Sn) given by s₁ = 0 and, for n ≥ 1 Sn+1 = √Sn + 2 converges and find its…

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Q: / Find the limits of the following sequences and determine their convergence? an = n(1-cos — )

A: here I am using expension of function and then find the limits.

Q: Exomples Porfrm 2 Thera trons of a a convergent fixed pornt methad to approximate the root of the…

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Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Show that S x-P cos xdx converges for p > 0 and converges absolutely if p > 1.

A: Given  Data: To show that ∫1∞x-pcosx dx converges for p&gt;0 and converges absolutely if p&gt;1.

Q: is it divergent, convergent or absolutely convergent?

A: We have given a series ,  ∑k=0∞ sin2k+1π2 k3k+1! Here , sin2k + 1π2 = sinkπ + π2 sin2k + 1π2  =…

Q: n Σ (-1)^ n=1 3 V8 tnlo

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Q: The multiplicity of -2 of the function P(x) = - x (- x - 2)?(x + 2) is: Select one: а. 2 b. 3 C. 4…

A: Note: you posted multiple question. As per our guidelines we are supposed to solve only one at a…

Q: show : ΣΣ - a"d, (x - a)" | n=0 m=0 is convergent,

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Q: Show that the sequence of functions {f.} where f,(x)=nxe is non-uniformly convergent on [0,1]. (by…

A: Test for uniform convergence of sequences: Let fn be a sequence of functions such that it converges…

Q: Verify that x = 1/a is a fixed point of the function g(x) x(2 ax). Determine the order of…

A: To show that x = a is a fixed point of g(x)=x( 2-a x) it is sufficient to show g(a)=aand if we can…

Q: 1 211. n=1 4"-3"

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