First slide

Continuity

Question

$Let f (x) = [2 x^{3} - 5] . Then, number of points of discontinuity of f (x) in (1, 2)$

Moderate

A

0
B

3
C

10
D

13

Solution

$f (x) = 2 x^{3} - 5 is an increasing function of x on (1, 2) and$
$f (1) = - 3, f (2) = 11 . Between - 3 and 11 there are thirteen points where f (x) is$ $discontinuous.$

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