(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the question is: Prove that if lim[itex]_{x→0}[/itex] f(x)/x = l and b≠0, then lim[itex]_{x→0}[/itex] f(bx)/x = bl

2. Relevant equations

Hint: write f(bx)/x = b[f(bx)/bx]

properties of limits, delta epsiolon...

3. The attempt at a solution

I assume that I can use the property of limits that is lim(x->a) (f*g)(x) = l*m

I can make b one function and f(x)/x another, and hence use the above property. But I honestly don't think that's right, don't know where to go from here

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# Homework Help: Prove that the limit constant times a function

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