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Question

Mathematics Question on Differentiability

The function f(x)=[x]f(x) = [x], where [x][x] denotes greatest integer function is continuous at

A

4

B

-2

C

1

D

1.5

Answer

1.5

Explanation

Solution

[x][x] is always continuous at non-integer value of xx. Hence, f(x)=[x]f(x)=[x] will be continuous at x=1.5x=1.5.