The value of $2 + \frac{1}{{2 + \frac{1}{{2 + ...\infty }}}}$ is

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The value of

2 + \frac{1}{{2 + \frac{1}{{2 + ...\infty }}}}

View answer and explanation

Correct option: B

1 + \sqrt 2

Option B (

1 + \sqrt 2

) is correct because it is the positive solution to the quadratic equation formed by the infinite continued fraction.

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