Show that a sequence is upper limited. (Show that  limn→∞ xn = L entails |xn| ≤ K, where K > 0.)

Q: Let p be a given Natural Number. Give a sequence (XN) that is not a Cauchy sequence, but it…

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Q: 4. Let a₁ = 1 and an+1 = √8+ an Show that the sequence {an}1 is convergent and find its limit.

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Q: Is the sequence (N SIN N) properly divergent Is the limit +∞ or -∞0 ?

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Q: Solve the differential equation y(t) = = y'' +9y = S(t2), y(0) = y'(0) = 0. ,t 2

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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.