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Using Limit Laws to find f(x)by jmm12
Tags: limits 
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#1
Feb112, 03:40 PM

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1. The problem statement, all variables and given/known data
lim ( f(x)/(x^{2}) )= 8 x→0 Then what is... a)lim ( f(x) ) x→0 b)lim ( f(x)/x ) x→0 2. Relevant equations 3. The attempt at a solution tried separating the limits (lim x→0 f(x))(lim x→0 1/(x^{2})) = 8 but the lim x→0 1/(x^{2}) is ∞ ... soooo i dont know... 


#2
Feb112, 03:43 PM

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hi jmm12! welcome to pf!
tell us what you think (and why), and then we'll comment! 


#3
Feb112, 03:58 PM

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#4
Feb112, 04:12 PM

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Using Limit Laws to find f(x)
The only thing in your post is



#5
Feb112, 04:15 PM

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draw the graph of 1/x^{2} (near zero) …
roughly what do you think the graph of f(x) will have to look like if f(x)/x^{2} > 8 ? 


#6
Feb112, 04:20 PM

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so if the numerator has to be zero too..
then the lim x>0 f(x) is zero?????????? 


#8
Feb112, 04:30 PM

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what would lim f(x) / x as x>0 be then..
if (lim x>0 f(x)) / (lim x>0 x) 0/0...or dne? 


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