Complex Numbers And Quadratic Equations question 735
Question: The value of $ 2+\frac{1}{2+\frac{1}{2+………..\infty }} $ is
Options:
A) $ 1-\sqrt{2} $
B) $ 1+\sqrt{2} $
C) $ 1\pm \sqrt{2} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ x=2+\frac{1}{2+\frac{1}{2+…..\infty }} $
Þ $ x=2+\frac{1}{x} $ (on simplification)
Þ $ x=1\pm \sqrt{2} $ But the value of the given expression cannot be negative or less than 2, therefore $ 1+\sqrt{2} $ is required answer.
BETA
