Explanation:
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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:
Pharmacists prescribing authority across the U.S. Certain states allow pharmacists to prescribe medications, adjust drug therapy, administer vaccines, and perform lab tests. Some have standing orders, while others require an advanced license for pharmacists.
Answer:
B.
Explanation:
The paragraph ends that way to lure the reader into continuing. By ending the paragraph in a cliffhanger the author is using suspense to create an urgent, yet smooth transition into the next scene. The author could have made the whole event one paragraph, but that wouldn't have the same impact.
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Answer:
Scoob went to the beach and chilled
Explanation: