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\(\lim _{x\to a}\frac{{\left(a+2x\right)}^{1/3}-{\left(3x\right)}^{1/3}}{{\left(3a+x\right)}^{1/3}-{\left(4x\right)}^{1/…

Q1

\(\lim _{x\to a}\frac{{\left(a+2x\right)}^{1/3}-{\left(3x\right)}^{1/3}}{{\left(3a+x\right)}^{1/3}-{\left(4x\right)}^{1/3}}\left(a\neq 0\right)\) is equal to

[JEE Main 2020, 3 Sep (Shift 2)]

a

\(\left(\frac{2}{9}\right){\left(\frac{2}{3}\right)}^{1/3}\)

b

\(\left(\frac{2}{3}\right){\left(\frac{2}{9}\right)}^{1/3}\)

c

\({\left(\frac{2}{3}\right)}^{4/3}\)

d

\({\left(\frac{2}{9}\right)}^{4/3}\)

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