math calculus please help!
posted by ronan
l = lim as x approaches 0 of x/(the square root of (1+x)  the square root of (1x)
decide whether:
l=1
or
l=0
or
l=1
Let me make sure I understand the question. Do we have
lim x>0 x/[sqrt(1+x)  sqrt(1x)] ?
If so then multiply the expression by
[sqrt(1+x) + sqrt(1x)]/[sqrt(1+x) + sqrt(1x)]
to get
(x*[sqrt(1+x) + sqrt(1x)])/[(1+x)  (1x)]=
(x*[sqrt(1+x) + sqrt(1x)])/2x=
=limx>0 [sqrt(1+x) + sqrt(1x)]/2=
something you can do.
biz
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