Q Find value of \( k \). \( f(x)=\left\{\begin{array}{cc}\frac{\sqrt{2 x+5}-\sqrt{x+7}}{x-2} & x \neq 2 \\ k & x=2\end{array}\right. \) \( i f(x) \) is continuous at \( x=2 \).

1) \( y=3 x^{3}-6 x^{\frac{5}{3}}+11 x-8 x^{\frac{3}{2}} \) 2

1) \( y=3 x^{3}-6 x^{3}+11 x-8 x^{2} \) 2) \( y=-4 x^{-\frac{2}{3}}-8 x^{-\frac{3}{4}}+4 x^{-3}+5 x \) 3) \( y=6 x^{-\frac{1}{2}}+8 x^{-\frac{3}{4}}-6 x^{-1}-4 x^{-3} \)

\( \left. \begin{array} { l l } { u = x ^ { 2 } + 3 x + 2 } & { u ^ { \prime } = 2 x + 3 } \\ { v = x - 1 } & { v ^ { 3 } = 1 } \\ { } & { ( 2 x + 3 ) ( x - 1 ) - ( x ^ { 2 } + 3 x ) 2 ) ( 1 ) } \end{array} \right. \)

\( \left. \begin{array} { l } { u = x ^ { 2 } + 3 x + 2 \quad u ^ { \prime } = 2 x + 3 } \\ { V = x - 1 \quad V ^ { \prime } = 1 } \\ { \frac { ( 2 x + 3 ) ( x - 7 ) - ( x ^ { 2 } + 3 x + 2 ) ( 1 ) } { ( x - 1 ) ^ { 2 } } } \end{array} \right. \)

1) si \( \left(x^{2}+y^{2}\right)^{2}+3 x y-y^{2}=0 \quad \) halle \( \frac{d y}{d x} \left\lvert\,\left(\frac{1}{2},-\frac{1}{2}\right)\right. \)