For `x >0,l e th(x)={1/q ,ifx=p/q0,ifxi si r r a t ion a l` where `p ,q >0` are relatively prime integers. Then prove that `f(x)` is continuous for all irrational values of `xdot`

For x >0,l e th(x)={1/q ,ifx=p/q and 0,if x is i r r a t ion a l where p ,q >0 are relatively prime integers. Then prove that f(x) is continuous for all irrational values of xdot

For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q > 0 are relatively prime integers 0 then which one does not hold good?

For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q > 0 are relatively prime integers 0 then which one does not hold good?

For let h(x)={1/q if x=p/q and 0 if x is irrational where p & q > 0 are relatively prime integers 0 then which one does not hold good? (a)h(x) is discontinuous for all x in (0, oo) (b)h(x) is continuous for each irrational in (0, oo) (c)h(x) is discontinuous for each rational in (0, oo) (d)h(x) is not derivable for all x in (0, oo)

For let h(x)={(1)/(q) if x=(p)/(q) and 0 if x is irrational where p&q>0 are relatively prime integers 0 then which one does not hold good?

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

"I f"f(x)={x^3-6x^2; ifxi sr a t ion a l-11 x+6;ifxi si r r a t ion a l"t h e n" f(x) is continuous for all real x f(x) is continuous at x=1,2,3. f(x) is discontinuous at infinite points f(x) discontinuous for all real xdot

lim _(xtooo)3/x [(x)/(4)]=p/q where [.] denotes greatest integer function), then p+q (where p,q are relative prime) is: