If `f(x)={[x]+sqrt({x}),x<1 1/([x]+{x}^2),xgeq1` , then [where [.] and {.] represent the greatest integer and fractional part functions respectively] `f(x)` is continuous at `x=1` `f(x)` is not continuous at `x=1` `f(x)` is differentiable at `x=1` `(lim)_(xvec1)f(x)` does not exist