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Question
The function f(x) = [x], where [x] denotes the greatest integer less than or equal to x; is continuous at ______.
Options
x = 1
x = 1.5
x = – 2
x = 1
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Solution
The function f(x) = [x], where [x] denotes the greatest integer less than or equal to x; is continuous at x = 1.5.
Explanation:
We know that the biggest integer function is continuous only on non-integral points, not on integers.
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