solve limit?

👨🏻‍🏫 學術台數學

[匿名]

2014-12-31 10:08 am

find the limit of f(x)=n*sin(1/n) when n to infinity

回答 (3)

cidyah

2014-12-31 3:34 pm

lim n-->inf n sin (1/n)

Let t= 1/n
lim n-->inf n sin (1/n) = lim t-->0 sin(t) / t
= 1

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[匿名]

2014-12-31 10:14 am

lim(n->infinty)=n*sin(1/n)
= sin(1/n)/1/n-----------------------------------1

by lim sin(x)/x=1
from 1
lim(n->infinity)=1

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[匿名]

2014-12-31 11:55 am

= lim (h -> 0) sin h / h = 1

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