Question

Answer please ??????????????????????

Answer 1

Answer: -1/2

Explanation:

`\\\displaystyle \lim_(x \to 3) \ ((1)/(x+5)-(1)/(8))/(√(x+1)-2) \\\\\\\displaystyle =\lim_(x \to 3) ((3-x)/(8) )/(√(x+1)-2) \\\\\\\displaystyle =\lim_(x \to 3) ((√(x+1)+2)*(3-x)/(8) )/((√(x+1)-2)*(√(x+1)+2)) \\\\\\\displaystyle =\lim_(x \to 3) \frac{(√(x+1)+2)*({3-x)} }{8*(x+1-4)} \\\\\\\displaystyle =\lim_(x \to 3) \frac{(√(x+1)+2)*({3-x)} }{8*(x-3)} \\\\\\\displaystyle =\lim_(x \to 3) -\frac{ (√(x+1)+2)} {8} \\\\`

`=-(1)/(2)`