Question

( begin{aligned} lim _{x rightarrow 7} frac{2-sqrt{x-3}}{x^{2}-49} &=left(frac{2-sqrt{x-3} times frac{2+sqrt{x-3}}{(x-7)(x+7)}}{2+sqrt{x-3}}right) =& frac{4-(x-3)}{(x-7)(x+7)(2+sqrt{x-3})} {=lim _{x rightarrow 7} frac{-(x-7)}{(x-7)(x+7)} 2+sqrt{x-3}}{frac{-1}{14 x(2+2)}=} & frac{-1}{56} end{aligned} )

# The value of lim 2 - VX – 3 x→7 x? - 49 (a) 2/9 (c)1/56 (b)-2/49 (d)-1/56

Solution