Question

P={x/x=2^n,n E I}.P is..​

Answer 1

To find :

$\tt{ the\: roaster\: form\: of \: set \: P}$

$\tt{P =[x/x = 2^n , n\in Z ]}$

solution :

the set says that the P is made up of element x , where x is the nth power of 2 , and n is a part of integer .

so, n = -∞ ...-3,-2,-1,0,1,2,3,4... ∞

so, x = 2^n

$\implies \tt{x = ...2^{-3} , 2^{-2},2^{-1},2^{0},2^{1},2^{2},2^{3},2^4 ...}$

$\implies \tt{x=... \frac{1}{8} , \frac{1}{4} , \frac{1}{2} ,1, 2, 4, 8, 16 ...}$

the set P is :

$\tt{ P =[...\:\frac{1}{8} ,\frac{1}{4} ,\frac{1}{2}, 1, 2, 4, 8, 16\:...]}$