InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Let R be the set of real number and `f:R to R` be defined by `f(x)=({x})/(1+[x]^(2))`, where [x] is the greatest integer less than or equal to x, and {x}=x-[x]. Which of the following statement are true? I. The range of f is a closed interval II. f is continuous on R. III. f is one - one on R.A. I onlyB. II onlyC. III onlyD. None of I, II and III |
|
Answer» Correct Answer - D `f{x}=({x})/(1+[x]^(2))` `f(x)={{:((x+1)/(2):-1lex lt0),(x:0lexlt1),((x-1)/(2),1lexlt2),((x-2)/(2),2lexlt3),(" "underset("So-on")(vdots)):}` Now check accordingly |
|