Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Write the Value of Lim X → 1 − X − [ X ] . - Mathematics

Write the value of $\lim_{x \to 1^-} x - \left[ x \right] .$

#### Solution

$\lim_{x \to 1^-} \left( x - \left[ x \right] \right)$
$x = 1 - h$
$\therefore h \to 0$
$\lim_{h \to 0} \left( \left( 1 - h \right) - \left[ 1 - h \right] \right)$
$= 1 - 0$
$= 1$

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