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If a,...,d are functions and a~b, c~d, can I conclude that a-c~b-d?

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- #1

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If a,...,d are functions and a~b, c~d, can I conclude that a-c~b-d?

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mathman

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No. Example a=b=x^{n}, c=x^{n}-x^{n-1}, d=x^{n}-x^{n-2}

Fix n>1 and x->inf.

Fix n>1 and x->inf.

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