If `f(x)={2x+b , (x lt a) and x+d , (x leq a)` is such that `Lt_(x->a) f(x)=I` then `I =`

If f(x) = {(2x+b, x lt alpha),(x+d, x gea):} is such that lim_(x rarr alpha) f(x) = l , then l =

If f(x)= {{:(,2x+b,(x lt a)),(,x+d,(x ge a)):}" is such that " underset(x to a)"Lt" f(x)="l then l="

If f(x)=Cx^(2), o lt x lt 2 is the p.d.f. of x then c is

If f(x) = {sinx , x lt 0 and cosx-|x-1| , x leq 0 then g(x) = f(|x|) is non-differentiable for

If f(x)=sqrt(x-2) , for 2 lt x lt 4 , then f(x) is

If f(x)=sqrt(x-2) , for 2 lt x lt 4 , then f(x) is

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Consider the function f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4)). Let lim_(x->1) f(f(x))= l and lim_(x->1) f(f(x))=m then which one of the following hold good ? (A) l exist but m does not (B) m exist but l does not (C) both exist (D) both does not exist