Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let f(x) = |x|2 - |x2|
Consider the following statements :
I. f(x) is continuous at x = 0.
Il. f(x) is continuous at x = 1
Which of the statements given above is/are correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
f(x) = [x]2 – [x2]
At x = 0
LHL =
= (–1)2 – 0 = 1
RHL =
= 0 – 0 = 0
LHL ≠ RHL; f(x) is not continuous at x = 0
At x = 1
LHL =
= 1 – 1 = 0
RHL =
= 1 – 1 = 0
⇒ f(x) is continuous at x = 1; LHL = RHL.
∴ Option (b) is correct.
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