It is clear that a(n)=2^(1-2^(-n)). In fact, for n=1 this produces 2^(1-1/2)=sqrt(2)=a1 and if it is true for a(n) then a(n+1) = sqrt (2 * 2^(1-2^(-n))) = sqrt(2^(2-2^(-n))) = 2^(1-2^(-(n+1))) (a) clearly 2^(1-2^(-n))<2<3 so the sequence is bounded by 3. Also a(n+1)/a(n) = 2^(1-2^(-n-1) - 1+2^(-n)) = 2^(1/2^n - 1/2^(n+1)) = 2^(1/2^(n+1)) >1 so the sequence is monotonically increasing. As it is monotonically increasing and has an upper bound it means it has a limin when n-> oo (b) 1-1/2^n -> 1 as n->oo so 2^(1-2^(-n)) -> 2 as n->oo
Answer:
The answer is D.) My mistress is not a perfect beauty.
Answer:
In the terrace
Explanation:
because this is where I can see beautiful sights
The one piece of information that we can infer about the story from this sentence is A. There is a pretty ordinary house in this story, so it is likely set in a realistic location.
<h3>What is Inference?</h3>
This refers to the deductions that a person can make based on the given evidence about a thing.
Hence, we can see that based on the given narration, there is the description of the weather and the contents of the house, so we can see that there is a pretty ordinary house in this story, so it is likely set in a realistic location.
Read more about inference here:
brainly.com/question/16750080
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The third option shows evidence. A survey from the Truth Initiative shows that in 2017, 20.9% of adults in Alabama smoked.
When you read all other options none of them give you any data or statements that can be classified as “evidence.”
Hope this helps!
