AP EAMCET202318 May 2023Evening ShiftMathematicsLimitsActual
Let [.] denote the greatest integer function. Assertion (A) : _ x [x] x =1 Reason (R) : f(x)=x-1, g(x)=[x], h(x)=x and _ x f[x] x = _ x h(x) x =1
Options
- AA is true, R is true: R is correct explanation of A
- BA, R are true; R is not the correct explanation of A
- CA is true, R is false
- DA is false, R is true
Correct answer
A. A is true, R is true: R is correct explanation of A
Step-by-step solution
A: _ x [x] x = _ x x- x x array ll = _ x 1- x x =1-0 & 0 < x < 1 = & _ x [x] x =1 array Assertion is true B: _ x f[x] x = _ x [x]-1 x = _ x [x] x =1 Reason is true.