find the given limit as x approaches 0.
([1/(x+1)] /x) (-1/x)
please help I'm confused, is there a way to find this algebraically?
thanks,
zirr
If f(x)-> 0 and g(x)-> 0 as x->a, then [tex]\lim_{x\to a}\frac{f(x)}{g(x)}= \lim_{x\to a}\frac{f'(x)}{g'(x)}[/itex]
and you can extend to $\displaystyle \frac{\infty}{\infty}$ and other "indeterminant forms".
Note that numerator and denominator are differentiated separately, you are not differntiating the fraction using the quotient law.