- #1
gothloli
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Homework Statement
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
Homework Equations
Hint: write f(bx)/x = b[f(bx)/bx]
properties of limits, delta epsiolon...
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