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Question
If k be an integer, then `lim_("x" -> "k") ("x" - ["x"])` ____________.
Options
is equal to – 1
is equal to 0
1
does not exist
MCQ
Fill in the Blanks
Solution
If k be an integer, then `lim_("x" -> "k") ("x" - ["x"])` 1.
Explanation:
`= lim_("x" -> "k") ("x" - ["x"])`
`= lim_("x" -> "k") "x" - lim_("x" -> "k")["x"]`
`= "k" - ("k" - 1) = 1` for all `"x" in ("k" - 1, "k")`
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