The series elnz) - e) converge to n=1 (a)Ve - 1 (b) e - et (c)Ve - e3

Q: The series (n+3) converge to n=1

A: by expanding the series we can find out the sum

Q: (2+x)" Q4. Find the convergence interval and radius of the series : E (-1)**" 2" n n=1

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Q: * (x+7)" convergent range of series n=1 Select one: a. (-1-7,1-7] (-1,1-7) O C. [z-1,1-7] O d.…

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Q: Σ=on + 5") (-1)" 5n Find the sum of this infinite Series Σ=on +

A: Here we have to find the sum of given infinite series

Q: Find the interval of convergence of (x - 15)2n+1 6n + 1 00 Σ n=15 (Use symbolic notation and…

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Q: es 1 + (-3) + (- 3)² + (- 3)³ + (- 3)* + ...

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Q: Q\ Find the infimum and supremum of the sequence (a„)nen = (n(1 +(-1)") + n='((-1)" – 1). nƐN

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Q: What is the first term in the series if the function f (x) =- is to be expanded using Taylor's…

A: Question from expansion of the series.

Q: Q3) The sequence a, = 1 - (0.2)" a) converges to 0 b) diverges c) converges to e d) converges to 1

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Q: Σ(-1)" n=1 Σ(Η) ΣΤ n=1 71 m=1 (-3)" 2" n=1 27

A: Given (i) ∑n=1∞(-1)n (ii) ∑n=1∞15n (iii) ∑n=1∞13n (iv) ∑n=1∞(-3)n2n (v) ∑n=1∞2n To find which of the…

Q: Fex) =I_x-2) 나 - -n. + (-1)". (x-2)h 2 ht1 (x-2)? it Finde- a.values of (x) that make seriies…

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Q: If Eanx" converges on the interval [- 7,7], where does the series Zan (2x - 5)" converge?

A: It is given that, ∑anxn converges on the interval -7,7

Q: If y =1+2x + 4x² + 8x +... i) Show that x= y -1 2y i) Find the interval in which the series is…

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Q: n E(-1) n n=1

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Q: The sequence a,=n sin 1 converges Select one: True OFalse

A: We have to check

Q: Q3) determine whether the sequence convergent or divergent: 8 : { (in n / x 1) an = { sin 2n 1+√n .}…

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Q: {au, ) IL x y² dx dy Q4-A) Show that the sequence B) Evaluate : ah (sinn)}, +sinh( converges to (1).

A: Given

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.