[" Let "f(x)=x^(3)-x^(2)+x+1" and "],[g(x)={[max.f(t),,0<=t<=x],[3-x,,1

Let f(x) = -x^(3) + x^(2) - x + 1 and g(x) = {{:(min(f(t))",",0 le t le x and 0 le x le 1),(x - 1",",1 lt x le 2):} Then, the value of lim_(x rarr 1) g(g(x)) , is........ .

Let f(x)=x^(3)-x^(2)+x+1 and g(x) be a function defined by g(x)={{:(,"Max"{f(t):0le t le x},0 le x le 1),(,3-x,1 le x le 2):} Then, g(x) is

Let f(x)=sin x and cg(x)={max{f(t),0 pi Then ,g(x) is

Let f(x)=|x-1|+|x-2| and g(x)={min{f(t):0<=t<=x,0<=x<=3 and x-2,x then g(x) is not differentiable at

Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f ('(x)) ^(2). Let n be the numbers of rreal roots of g(x) =0, then:

Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f'(x) ^(2). Let n be the numbers of real roots of g(x) =0, then: