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Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 2 · Q33

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 3 Sep · Shift 2 · Q33

Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 2 · Q33

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}} \over {{{\left( {3a + x} \right)}^{{1 \over 3}}} - {{\left( {4x} \right)}^{{1 \over 3}}}}}

(

a e

0) is equal to :

A
$\left( {{2 \over 9}} \right){\left( {{2 \over 3}} \right)^{{1 \over 3}}}$
B
$\left( {{2 \over 3}} \right){\left( {{2 \over 9}} \right)^{{1 \over 3}}}$
C
${\left( {{2 \over 3}} \right)^{{4 \over 3}}}$
D
${\left( {{2 \over 9}} \right)^{{4 \over 3}}}$

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