Question

Misalkan xn := 1 + 5 +...+ , ne N. Buktikan bahwa (xn) naik dan terbatas (di atas). (Petunjuk. Gunakan fakta bahwa 2n-1 < n!


translate from the question.

1.suppose xn

2.prove that Xn rises and is limited above 2 ^ n-1 ≤ n!

3.use the fact that

4.for each

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Answer #1

We know that . n. 2 2017 2 1 - 1 - - use this in our I segr, we get 29- une 2 ? zhy I & a So, un 22 ] and sun 12an 22 and isNow since x​​​​​​n is bounded and monotonically incresing.

aso x​​​​​​n will converge also .

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