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Question
`lim_(x -> 1) [x - 1]`, where [.] is greatest integer function, is equal to ______.
Options
1
2
0
Does not exists
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Solution
`lim_(x -> 1) [x - 1]`, where [.] is greatest integer function, is equal to does not exists.
Explanation:
Since R.H.S. = `lim_(x -> 1^+) [x - 1]` = 0
And L.H.S. = `lim_(x -> 1^-) [x - 1]` = –1
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