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anonymous
 5 years ago
How to apply sqeeze theorem in sequence?
anonymous
 5 years ago
How to apply sqeeze theorem in sequence?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0suppose we want to show that {a(n)} = e^(n+sin(n) ) approaches 0 as n > inf well suppose we define some b(n) = e^(2n), it can be seen that for all natural number n, b(n) < a(n) therefore {b(n)} < {a(n)}. Similarly c(n) = e^(n/2), a(n) < c(n), so {b(n)} < {a(n)} < {b(n)}. n > inf for {b(n)} = {c(n)} = 0, so by the squeeze theorem {a(n)} approaches 0.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i meant "{b(n)} < {a(n)} < {c(n)}"
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