Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let f(x) = |x|2 - |x2|
What is f(0.999) + f(1.001) equal to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
f(x) = [x]2 – [x2]
⇒ f(0.999) = [0.999]2 – [0.9992 ]
= = 0 – [value lies b/w 0 and 1]
= 0 – 0 = 0
⇒ f(1.001) = [1.001]2 – [(1.001)2 ]
= 1 – 1 = 0
⇒ f(0.999) + f(1.001) = 0 – 0 = 0
∴ Option (b) is correct.
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