First slide

Introduction to real valued functions

Question

For a real number x [x] denotes the integral part of x the value of
$[\frac{1}{2}] + [\frac{1}{2} + \frac{1}{100}] + [\frac{1}{2} + \frac{3}{100}] + ..... [\frac{1}{2} + \frac{99}{100}] =$

Difficult

A

49
B

50
C

48
D

51

Solution

$[\frac{1}{2}] + [\frac{1}{2} + \frac{1}{100}] + [\frac{1}{2} + \frac{3}{100}] + ..... [\frac{1}{2} + \frac{99}{100}] = 50$

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