First slide

Introduction to limits

Question

The value of $lim_{x \to k^{-}} x - [x]$ where k is an integer , is

Moderate

A

-1
B

1
C

0
D

2

Solution

we have,
$lim_{x \to k^{-}} x - [x] = lim_{h \to 0} k - h - [k - h] = lim_{h \to 0} k - h - (k - 1) = 1$

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