Question: Find a numbersthat satisfies the assertion made in Theorem #5 ( lecture notes) forsandgiven below: a) {1/11, (1/11)^2, ... (1/11)^n.....} =0.001 b)S={1/2, 1/4, 1/8,.....(1/2)^n} =(1/4)^k,(k1)

Find a numbersthat satisfies the assertion made in Theorem #5 ( lecture notes) forsandgiven below:

a) {1/11, (1/11)^2, ... (1/11)^n.....} =0.001

b)S={1/2, 1/4, 1/8,.....(1/2)^n} =(1/4)^k,(k1)

Theorem #5

if M is Sup S and >0, then there is at least one number s in S such that M- < s <= M

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