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| Math Central | Quandaries & Queries |
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mary, a parent: i was trying to find the limit of this problem the limit as x approches infinity of x minus cosx divided by x lim x-cosx/x |
Hi Mary,
For any x, -1 ≤ cos x ≤ 1 and hence -1/x ≤ cosx/x ≤ 1/x
lim -1/x = lim 1/x = 0 as x -> infinity and hence you can apply the sandwich theorem.
Harley
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