document.write( "Question 238695: Lim Sin (1/x)
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Algebra.Com's Answer #175402 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "As

approaches 0,

increases without bound. Thus in any open interval containing 0 there will be values of

such that

is a multiple of

, values of

such that

more than a multiple of

, and values of

such that

more than a multiple of

. The sine of these values of

will be 0, 1 and -1 respectively.\r
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oscillates \"an infinite number of times\" between 1 and -1 in any neighbourhood of

. Therefore the limit doesn't exist.\r
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