`f(x)=([x]+1)/({x}+1)` for `f:[0,5/2)- gt(1/2,3)`, where [.] represents the fractional part ...
30 views · Published 12 October 2018 · 4:54 · Indexed 20 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW `f(x)=([x]+1)/({x}+1)` for `f:[0,5/2)- gt(1/2,3)`, where [.] represents the fractional part of x. then which of the following is true ?
a) f(x) is injective discontinuous function b) f(x) is surjective non differentiable function c) `min(lim_x- gt1-f(x) , lim_x- gt1^+ f(x))=f(1)` (d) max ( x values of point of discontinuity) = f(1)
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