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Limits Continuity and Differentiability question

2022 · 27 Jul · Shift 2 · Q25

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 27 Jul · Shift 2 · Q25

Limits Continuity and Differentiability question

2022 · 27 Jul · Shift 2 · Q25

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If for

\mathrm{p} eq \mathrm{q} eq 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 :

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

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