Question

please tell me answer
the person who anyone can tell I will Mark him / her as brainliest​

Answer 1

$\text{Given that } x = \dfrac{1}{2} :$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } = \dfrac{1}{2} + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{\frac{1}{2} } } }$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } =\dfrac{1}{2} + \dfrac{1}{1 + \dfrac{1}{1 + 2} } }$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } = \dfrac{1}{2} + \dfrac{1}{1 + \dfrac{1}{3} } }$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } =\dfrac{1}{2} + \dfrac{1}{\dfrac{4}{3} } }$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } = \dfrac{1}{2} + \dfrac{3}{{4} } }$

$x + \dfrac{1}{1 + \dfrac{1}{1 + \dfrac{1}{x} } } = \dfrac{5}{4}$

Answer: 5/4