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April 22nd, 2012, 02:15 AM   #1
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2 limits questions..please help

I need help evaluating these two limits

1) lim (x tends towards 2) (x-2) (absolute value) / x-2



2) lim (x tends towards zero) Square root of the absolute value of x multiplied by e^(sin pi/x)
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April 22nd, 2012, 02:56 AM   #2
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Re: 2 limits questions..please help


Consider two cases (by definition of the absolut value):
1) thus , in that case .
2) thus , in that case

Therefore the limiet doesn't exist.

Try to do something similar for the second one.
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April 22nd, 2012, 03:14 AM   #3
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Re: 2 limits questions..please help

Thank you, I understand it now .. The second one is zero, I had a go at it ..
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