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

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

KCETKCET 2015Continuity and Differentiability

Solution:

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