Question

plz solve this question i will mark him brainlist .
evaluate​

Answer 1

Answer:

1/2

Step-by-step explanation:

$\bold {Given : }  \lim_{x \to 1} \frac{1 - x^{\frac{1}{3}}}{1 - x^{\frac{2}{3}}}$

It can be written as,

$\Rightarrow  \lim_{x \to 1} \frac{1 - x^{\frac{1}{3}}}{1 - (x^{\frac{1}{3}})^2}$

$\Rightarrow \lim_{x \to 1} \frac{1 - x^{\frac{1}{3}}}{(1 - x^{\frac{1}{3}})(1 + x^{\frac{1}{3}})}$

$\Rightarrow \lim_{x \to 1} \frac{1}{(1 + x^{\frac{1}{3}})}$

$\Rightarrow \frac{1}{1 + (1)^{\frac{1}{3}}}$

$\Rightarrow \frac{1}{1 + 1}$

$\boxed{\frac{1}{2}}$

Hope it helps!