1. ## limits

if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

I have no idea how to do this >< isn't it 1??

2. Originally Posted by rmn
if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

I have no idea how to do this >< isn't it 1??
$\displaystyle \lim_{x\to -2} \frac{f(x)}{x^2} = 1$

Then,
$\displaystyle \lim_{x\to -2} \frac{f(x)}{x} = \lim_{x\to -2} \frac{f(x)}{x^2} \cdot x = (1)(-2) = -2$

Then,
$\displaystyle \lim_{x\to -2}f(x) = \lim_{x\to -2}\frac{f(x)}{x^2} \cdot x^2 = (1)(-2)^2 = 4$

3. Originally Posted by rmn
if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

I have no idea how to do this >< isn't it 1??
$\displaystyle \lim_{x \to -2} \frac {f(x)}{x^2} = \lim_{x \to -2} \frac {f(x)}{4} = 1$

$\displaystyle \Rightarrow \frac 14 \lim_{x \to -2}f(x) = 1$

now continue

4. thanks, so we should multiply it by something that will get rid of the x and make it what we're looking for? and then substitute?