Lim x → 0 [ x ] l o g x n − [ x ] , n ∈ N ([ x ] denotes greatest integer less than or equal to x )

Since Lim x → 0 [ x ] does not exist, hence the required limit does not exist

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsGeneral ( Limit existence)Medium2 minPYQ_2002

MathematicsMediumsingle choice

$Lim_{x \to 0} \frac{l o g x ^{n} - [ x ]}{[ x ]}, n \in N ([x]$ denotes greatest integer less than or equal to $x)$

Answer:

Solution:

Since $Lim_{x \to 0} [x]$ does not exist, hence the required limit does not exist

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:General ( Limit existence)

⏱ 2mℹ️ Source: PYQ_2002

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