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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider two functions $f(x)$ and $g(x)$ such that
$f(x) = |x| + [x]$ and $g(x) = |x|[x]$,
where $[x]$ denotes the greatest integer function.
Solution
At $x=1^-$: $f(x)=|x|+[x]=1+0=1$; at $x=1$: $f(1)=|1|+[1]=2$. ⇒ jump ⇒ discontinuous. $g(x)=|x|[x]$: at $x=1^-$ → $1×0=0$; at $x=1$ → $1×1=1$. ⇒ discontinuous.Online Test Series, Information About Examination,
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