I know Limit goes to 1 as x tends to zero but what happens when x tends to infinity.

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- October 30th 2009, 10:47 AMcharikaarsinx/x as x goes to infinity
I know Limit goes to 1 as x tends to zero but what happens when x tends to infinity.

- October 30th 2009, 10:59 AMtonio
- October 30th 2009, 11:00 AMSoroban
Hello, charikaar!

Quote:

I know: .

but what happens when tends to infinity? .

The numerator oscillates between -1 and +1,

. . while the denominator tends to infinity.

Therefore: .

- October 30th 2009, 11:00 AMBruno J.
Well , so for ,

By the squeeze theorem, as .

Edit : damn, beat me to it. :)