Asked by Anonymous

Find all vertical and horizontal asymptotes for the graph of y=lnx/lnx-1
Answered by Anonymous
isx=e and y=1
Answered by Reiny
Did you mean:
y=lnx/(lnx-1)
or
y=lnx/ln(x-1)

Clearly you did not mean it the way you typed it, since it
would reduce to y = 0
Answered by oobleck
recall that ln e = 1
so, lnx-1 = 0 when x=1

clearly, when x gets huge, lnx-1 is very close to lnx
so the horizontal asymptote is just y = lnx/lnx = 1
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