range

find the range of mod(x-1)/x-1

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Originally Posted by prasum

find the range of mod(x-1)/x-1

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Make a sketch of and by symmetry, of . You'll easily find .

it is x-1 not x+1

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Originally Posted by prasum

it is x-1 not x+1

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Sorry, my bad. What have you tried so far?.

Quote:

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Originally Posted by prasum

find the range of mod(x-1)/x-1

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Please use brackets so we do not need to guess that you have left essential brackets out.

CB

Quote:

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Originally Posted by prasum

find the range of mod(x-1)/x-1

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|x-1|/(x-1)=|x-1|/(sgn(x-1) |x-1|)=sgn(x-1), assuming x is not equal to 1.

CB

If the OP meant then,

for all and . :)


P.S. Of course, it seems to be mod(x-1)/(x-1).