`(|x+2|-x)/xlt2`

f(x)={(mu,x=2),(e^((tan(x-2)/(x-[x]))),xlt2),((abs(x^2-5x+6)lamda)/((-x^2+5x-6).mu),xgt2):} f(x) is continuous then find the value of mu+lamda

Let f(x)= {(a|x^2-x-2| /(2+x-x^2) , xlt2),(b, x = 2), ((x-[x])/(x-2), x gt 2):} If f(x) is continuous at x = 2 , (where [.] denotes greatest integer function) : then (a , b ) is ,

Let f(x)={((a|x^(2)-x-2|)/(2+x-x^(2)), , xlt2),(b, , x=2),((x-[x])/(x-2), , xgt2):} ([.]denotes thet greatest integer functional). If f(x) is continuous at x=2 then:

Let f(x)={((a|x^(2)-x-2|)/(2+x-x^(2)), , xlt2),(b, , x=2),((x-[x])/(x-2), , xgt2):} ([.]denotes thet greatest integer functional). If f(x) is continuous at x=2 then:

Let f(x)={ f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

If f(x)={{:(2-x,xlt0),(x^2-4x+2,xge0)} then the value f(f(f(1))) is a) gt0 b) lt 0 c) =0 d)does not exist

If f(x)={[1/(x^2)-1/(x^2),xlt0],[sin^(-1)(x+b),x gt-0]} then at x=0,f(x) is (a)continuous if b=0 (b)discontinuous for any real b (c)differentiable for b=+-1 (d)non-differentiable for any real b

x2 +2, X22If f(x) = { 2x , xgt1 11-x, xlt2 and g(x) = 3-, X51' 1. evaluate lim f(g(x)).

If f(x)={(x-2,,xlt2),(3,,x=2),(x+2,,xgt3):} ,then find f(8).