Evaluate \( \lim _{x \rightarrow 0^{-}} \frac{5 x-4|x|}{3 x} \)

\( \frac{d}{dx}(x\times \sin (xy-y^{2})=x^{2}-1) \)

Soit \( \left(u_{n}\right) \) la sulte definie par On pose: \( V n \in \mathrm{~N} \); \( v_{n}=\frac{1}{u_{n-1}^{\prime}} \) H. Montrer que: \( (\mathrm{V} \sim \mathrm{N}): u_{n}>1 \). 2. Etudier la monotonie de la suite \( \left(u_{n}\right) \)

\( \int _{}^{}\frac{\sqrt {x}}{\sqrt [3]{x}+1} d \)

\( \lim _ { n \rightarrow \infty } \frac { n \cdot \sin \frac { 1 } { n } - \cos \frac { 1 } { n } } { \ln ( 1 + \frac { 1 } { n ^ { 2 } } ) } \)

Integrate \( f(x)=\frac{1}{\left(x^{2}+4\right)\left(x^{2}+2\right)} \) use partial fraction