limit(x→a)(x ((a + 2x)^1/3 - (3x)^1/3)/((3a + x)^1/3 - (4x)^1/3) (a ≠ 0) is equal to : (1) (2/3) (2/9)^1/3 (2) (2/3)^4/3

Question

\(\lim\limits_{x \to a} \)((a + 2x)^1/3 - (3x)^1/3)/((3a + x)^1/3 - (4x)^1/3 )(a \(\ne\) 0) is equal to :

(1) (2/3) (2/9)^1/3

(2) (2/3)^4/3

(3) (2/9)^4/3

(4) (2/9) (2/3) ^1/3

Answer 1

(1) (2/3) (2/9)^1/3