Question

The question is from arihant publication(navy mr) I need stepwise answer​

Answer 1

Answer:

Step-by-step explanation:

We have,

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

$\sf{\implies2=x+\dfrac{1}{1+\dfrac{1}{\dfrac{12+1}{4}}}}$

$\sf{\implies2=x+\dfrac{1}{1+\dfrac{4}{13}}}$

$\sf{\implies2=x+\dfrac{1}{\dfrac{13+4}{13}}}$

$\sf{\implies2=x+\dfrac{13}{17}}$

$\sf{\implies2-\dfrac{13}{17}=x}$

$\sf{\implies\,x=2-\dfrac{13}{17}}$

$\sf{\implies\,x=\dfrac{34-13}{17}}$

$\sf{\implies\,x=\dfrac{21}{17}}$