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Question

If for $\mathrm{p} \neq \mathrm{q} \neq 0$, the function $f(x)=\frac{\sqrt[7]{\mathrm{p}(729+x)}-3}{\sqrt[3]{729+\mathrm{q} x}-9}$ is continuous at $x=0$, then :

$7 p q \,f(0)-1=0$
$63 q \,f(0)-\mathrm{p}^{2}=0$
$21 q \,f(0)-\mathrm{p}^{2}=0$
$7 p q \,f(0)-9=0$

Solution

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