Question

помогите пж! мне срочно надо ​

Answer 1

Ответ:

0.75

Объяснение:

$1) \ 1 + \cfrac{1}{4} + \cfrac{1}{16} + \dots = \left[b_1 = 1, q = \cfrac{1}{4}, |q| < 1, S_n = \cfrac{b_1}{1-q} \right] = \cfrac{1}{1-\cfrac{1}{4}} = \cfrac{1}{\cfrac{3}{4}} = \cfrac{4}{3}$

$2) \ \left(\cfrac{1}{3}\right)^{\log_3\left(\frac{4}{3}\right)} = 3^{-\log_3\left(\frac{4}{3}\right)} = 3^{\log_3\left(\frac{3}{4}\right)} = \cfrac{3}{4} = 0.75$