48 Soit \( \left(u_{n}\right) \) la suite définie pour tout entier naturel \( n \) par: \[ \left\{\begin{array}{l}u_{0}=0 \\ u_{n+1}=\sqrt{u_{n}+6}\end{array}\right. \] a. Montrer par récurrence que pour tout entier naturel \( n, u_{n} \leqslant 3 \). b. On admet que la suite \( \left(u_{n}\right) \) est croissante. Est-ce que la suite \( \left(u_{n}\right) \) est convergente?

A power company divides the geographic regions it serves into grids. The company is able to allocate the power it generates based on the usage and needs of a particular grid. Certain grids use more power at certain times of the day, so companies often shift power around to different grids at various times. On any given day, the company makes several changes in the power allocation to Grid 1. First, it increases the power by \( 20 \% \). Then, it decreases it by \( 10 \% \). Finally, it increases it by \( 30 \% \). What is the net percent increase in this grid's power allocation? Round to the nearest whole percent and ignore the percent sign when entering your answer.

1. Головну підгрупу I групи утворюють а) лужні метали б) галогени в) інертні елементи

Find the value of \( x \) given that \( s / / \mathrm{t} \) 10. \( m \angle 4=77^{\circ}, \mathrm{m} \angle 8=4 \mathrm{x}+57 \) 11. \( m \angle 3=5 \mathrm{x}+13, \mathrm{~m} \angle 5=53^{\circ} \) 12. \( m \angle 1=6 x-5, m \angle 7=115^{\circ} \)

Evaluate: \( P(6)=x^{4}+x^{3}+4 x^{2}-8 x-10 \)

Question Plot all of the existing five features of the following rational function (some may not be needed). If you get a fraction or decimal then plot as close to the true location as possible. \[ f(x)=\frac{-3 x^{2}-6 x}{2 x^{2}-8} \]