Limits Continuity And Differentiability Question 60

Question: Let $ f(x)=[x^{3}-3],[x]= $ G.I.F. Then the no. of points in the interval (1, 2) where function is discontinuous is

Options:

A) 5

B) 4

C) 6

D) 3

Show Answer

Answer:

Correct Answer: C

Solution:

$ f(x)=[x^{3}-3] $

$ {{(1.26)}^{3}}=2-3=-1;{{(1.44)}^{3}}=3-3=0 $

Similarly, we can check for other points where $ f(x) $ changes values to 1, 2, 3, 4.
$ \therefore $ Total number of points of discontinuity are 6.