1which Statement is true? A incn) absolutely. Sinc) converges combergeng because converges lim. Siっcn) こO converges becuse o E s Sin diverges by integral test diverges Sin (n) by n-th term divergunce test Sincn) converges byAlternating series test

Q: an a) Converges n2 b) lim an =0 > cans converges dd) > cos (an) Converges n=1 e) Cos can) diverges

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Q: -) True or False. A series an always converges if lim,0an = 0. If true give reasen, %3D n=1 if false…

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Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

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Q: trig nometrie s converges unitoomy. Fo wier eres series [-a 9 then it is a on

A: We have to prove the statement, that if a trigonometric series converges uniformly on -π,π then it…

Q: does the sequence an converge or diverge? Find the limit if the sequence is convergent…

A: givenan=cos(3pi2 - 6n)

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: converges or div rge 2n+ Sinln)

A: The given series is  ∑n=1∞ 12n+sinn We have to check whether the series converges or diverges.

Q: (c) (d) S S 2vnx x3nx dx. (In In x)³ dx x ln² x

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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