Lim 3x²-5/x+1x-> -7Tolong bantuin ya

-7Tolong bantuin ya”>

Lim 3x²-5/x+1x-> -7Tolong bantuin ya

$begin{array}{rcl}lim limits_{xto 4}frac{16-x^2}{5-sqrt{x^2+9}}&=&lim limits_{xto 4}left(frac{16-x^2}{5-sqrt{x^2+9}}times frac{5+sqrt{x^2+9}}{5+sqrt{x^2+9}}right)\~\&=&lim limits_{xto 4}frac{left(16-x^2right)left(5+sqrt{x^2+9}right)}{5^2-left(sqrt{x^2+9}right)^2}\~\&=&lim limits_{xto 4}frac{left(16-x^2right)left(5+sqrt{x^2+9}right)}{25-left(x^2+9right)}\~\&=&lim limits_{xto 4}frac{left(16-x^2right)left(5+sqrt{x^2+9}right)}{16-x^2}\~\&=&lim limits_{xto 4}5+sqrt{x^2+9}\~\&=&5+sqrt{4^2+9}\~\&=&5+5end{array}$

$huge lim limits_{xto 4}frac{16-x^2}{5-sqrt{x^2+9}}=10$