x^3 - [x] =3 then x=?
[.] denotes G.I.F
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Answer:
Left hand limit =
x→3
−
lim
([x−3]+[3−x]−(x))=−1+0−3=−4
and Right hand limit =
x→3
+
lim
([x−3]+[3−x]−(x))=0−1−3=−4
Therefore, required limit value is −4
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