Using algebra when solving limits


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Posted by mfrizza on October 15, 2002 at 17:08:09:

Help! I'm missing the point here...

half way through this limits -> inf. problem and I'm stuck on a basic algebra issue...

lim x-> inf.

x / sqrt(9x^2+ x) + 3x

next step...divide both sides by largest x in denominator...okay, let's use x

x/x / sqrt(9x^2 + x)/x + 3x/x

now we have 1 / sqrt(9x^2 + x)/x + 3...

I don't understand the mechanics of sqrt(9x^2 + x)/x ....how does that work!



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