Let f:[0,∞)→[0,∞) be defined asf(x)=x∫0[y]dy where [x] is the greatest integer less than or equal

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Let f:[0,oo)to[0,oo) be defined as f(x)=int_(0)^(x)[y] dy where [x] is the greatest integer less...

Greatest Integer Function With Limits & Graphs

Let [t] denotes the greatest integer less than or equal to t. Let f:[0,∞]→R be a function defined by

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Let \([t]\) denote the greatest integer less than or equal to \(t\). Let \(f:[0, \infty) \righta....

Let f : [0,3] to R defined by f(x) = min { x-[x] , 1+[x] - x } where [x] is the greatest integer.

Prove that the Greatest Integer function f: R to R given by f(x)=[x] is neither one-one nor onto

If f(x)=sin [x]/[x],[x]≠0[.] greatest integer limit x to 0 f(x)|MCQ|Limits|RD Sharma|CBSE|NCERT|TERM