The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuousA. for each real `x`B. for each integral pointC. no whereD. at each non-integeral point

The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the great

1.	The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuousA. for each real `x`B. for each integral pointC. no whereD. at each non-integeral point
Answer» Correct Answer - C Doubt full points are integers at `x="n","n" epsilonI` `f(n)=0` `X=n,"n"epsilon I f(n)=0` R.H.L.`=lim_(n rarr0)[n+h]=0=` L.H.L` =lim_(n rarr0)[n-h]0=0` Continuous every where

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The function `f(x) = [x] cos((2x-1)/2) pi` where [ ] denotes the greatest integer function, is discontinuousA. for each real `x`B. for each integral pointC. no whereD. at each non-integeral point

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