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is function x[x] is continuous where [.] is greatest int func...acc to me it should b discontinous at at integral points.

is function x[x] is continuous where [.] is greatest int func...acc to me it should b discontinous at at integral points.

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1 Answers

pranay -askiitians expert
44 Points
13 years ago

u r right , it is definitely dis coninuous at integral points. 

for example take 7

f(7) x[x]=7*7=49 but

   lt     f(7)=x[x]          

x->7

  lt      f(7)=7[7.n]=7*7=49

x->7+

 it

x->7-  f(7)=7[6.n]=7*6=42

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