If `f(x)=(sin([x]pi))/(x^2+x+1)` , where `[dot]` denotes the greatest integer function, then `fi son eon e` `fi snoton e-on ea n dnon-con s t a n t` `fi sacon s t a n tfu n c t ion` `non eoft h e s e`

If f(x)=(sin([x]pi))/(x^(2)+x+1) where [.] denotes the greatest integer function,then (A) fis one-one (B) fis not one-one and not constant (C) fis a constant function (D) none of these

int_0^x(2^t)/(2^([t]))dt ,w h e r e[dot] denotes the greatest integer function and x in R^+ , is equal to

int_0^x(2^t)/(2^([t]))dt ,w h e r e[dot] denotes the greatest integer function and x in R^+ , is equal to

int_0^x(2^t)/(2^([t]))dt ,w h e r e[dot] denotes the greatest integer function and x in R^+ , is equal to

f: Rvec[-1,oo)a n df(x)=1n([|s in2x|+|cos2x|]) (where [.] is the greatest integer function.) Then, f(x)h a sr a ngZ f(x)i sp e r iod i cw i t hfu n d a m e n t a lp e r iodpi/4 f(x)i sin v e r t i b l ein[0,pi/4] f(x)i sin tofu n c t iondot

f: Rvec[-1,oo)a n df(x)=1n([|s in2x|+|cos2x|]) (where [.] is the greatest integer function.) Then, (a) f(x)h a sr a ngZ (b) f(x)i sp e r iod i c function (c) f(x)i sin v e r t i b l ein[0,pi/4] (d) f(x) is into function

Which of the following function is/are periodic? (a)f(x)={1,xi sr a t ion a l0,xi si r r a t ion a l (b)f(x)={x-[x]; 2n

Find the value of t which satisfies (t-[|sin x|])! = 3!5!7! w h e r e[dot] denotes the greatest integer function.

Find the value of t which satisfies (t-[|sin x|])! = 3!5!7! w h e r e[dot] denotes the greatest integer function.