Exercice 2 : Déterminer la valeur du produit \( P \) tel que : \[ P=\left(1-\frac{1}{2}\right) \times\left(1-\frac{1}{3}\right) \times\left(1-\frac{1}{4}\right) \times\left(1-\frac{1}{5}\right) \times \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots\left(1-\frac{1}{99}\right) \times\left(1-\frac{1}{100}\right) \]

Evalúa la expresión indicada \( \log _{2} 8^{33} \) Seleccione una: a. 99 b. 2 c. 33 d. 3

\[ f(x)=\frac{|x|}{x}=\left\{\begin{array}{lr}3 x-1, & x>3, \\ \mathrm{x}^{2}-2, & -2 \leq x \leq 3 \\ 2 x+3, & x<-2,\end{array}\right. \] d the values of \( f(2), f(4), f(-1), f(-3) \) and \( \mathrm{f}(0) \).

ค่าของ \( P_{6,1}-C_{8,2}+P_{7,3} \) มีค่าตรงกับข้อใด 188 240 120 720

4.13 If \( n \) is the largest integer for which \( n^{200}<5^{300} \), determine the value (NOV 2020) of \( n \).

If \( R \) is a relation \( { }^{\prime}<{ }^{\prime} \) from \( A=\{1,2,3,4] \) to \( B=\{1,3,5\} \). i.e. \( (a, b) \in R \) if and only if \( x<b \), then find \( R \circ R^{-1} \). solution: