Question

Lim x ➡️- 2 , x+2/1-√x+3 , what is the value of x

Answer 1

Answer:

+3is the value ok this is my answer to you

Answer 2

Answer:

Step-by-step explanation:

We have,

$\tt{\displaystyle\,lim_{x\to0}\,\dfrac{x+2}{1-\sqrt{x+3}}}$

$\sf{=\displaystyle\,lim_{x\to0}\,\dfrac{(x+2)(1+\sqrt{x+3})}{(1-\sqrt{x+3})(1+\sqrt{x+3})}}$

$\sf{=\displaystyle\,lim_{x\to0}\,\dfrac{(x+2)(1+\sqrt{x+3})}{1-x-3}}$

$\sf{=\displaystyle\,lim_{x\to0}\,\dfrac{(x+2)(1+\sqrt{x+3})}{-x-2}}$

$\sf{=-\displaystyle\,lim_{x\to0}\,\dfrac{(x+2)(1+\sqrt{x+3})}{x+2}}$

$\sf{=-\displaystyle\,lim_{x\to0}\,1+\sqrt{x+3}}$

$\sf{=-(1+\sqrt{3})}$