y=1 is an asymptote of y2 = x(x-1)2 ? State true or false ? Give reason.
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Originally Posted by puneet y=1 is an asymptote of y2 = x(x-1)2 ? State true or false ? Give reason. Do you mean $\displaystyle y^2 = x(x-1)^2$?
Yes, I mean ?
Originally Posted by puneet Yes, I mean ? Do you know what a horizontal asymptote is ....? It's the horizontal line y = a that the the curve approaches as x --> +oo and/or x --> -oo. If y = 1 is a horizontal asymptote of the given curve, then y --> 1 as x --> +oo and/or x --> -oo ..... Does that happen?
Highest power of x and also y is independent(i.e.=1) .Therefore no asymptotes occur. Is that right. As y-->1 then take x-->-+infinity then agian x-->1.
Last edited by puneet; Aug 22nd 2008 at 04:39 AM.
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