If x = 1/(2 + 3/(4 + 5/(6 + 7/(8 + 9/10)))), then which one of the following is correct?
A.0 < x < 0·5✓ Correct
B.x = 0·5
C.0·5 < x < 1·0
D.x > 1·0
Explanation
The denominator of x is greater than 2 (since 2 + positive fraction > 2). Therefore x = 1/(something > 2) < 1/2 = 0.5. Also x is clearly positive. Hence 0 < x < 0.5.
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