Question

$lim \frac{}{x - > 0} {(x + 2)}^{ \frac{1}{3} } - {2}^{ \frac{1}{3} } \div x$
​

Answer 1

Answer:

Hello mate ✌️

Step-by-step explanation:

The symbol ± is written using the code \pm in LaTeX. To write a fraction, you use the code \frac{expression in the numerator}{expression in the denominator} . Formulas that appear in text are called inline. ... This is a squashed inline fraction 23, written using the code \frac{2}{3}.

hope it will be helpful to you ✌️✌️

Answer 2

$lim \: \frac{(x + 2) {}^{ \frac{1}{3} } - 2 {}^{ \frac{1}{3} } }{x} \\ x - > 0 \\ \\ put \: \: \: x = 0 \: \: \: we \: \: \: \: get \: \: \: \frac{0}{0} \: \: \: form \\ \\ now \: \: by \: \: using \: \: l \: hospitals \: rule \: we \: have \\ \\ lim \: \: \frac{ \frac{1}{3}(x + 2) {}^{ \frac{1}{3} - 1 } }{1} \\ x - > 0 \\ \\ = \frac{1}{3} (0 + 2) {}^{ \frac{ - 2}{3} } \\ \\ = \frac{1}{3 \times 2 {}^{ \frac{2}{3} } } \\ \\ = \frac{1}{3 \times 4 {}^{ \frac{1}{3} } }$