" 2.Let "f(x)={[(x^(2))/(2)," when "0leqslant x<1],[2x^(2)-3x+(3)/(2)," when "1leqslant x leqslant2]

Let f(x)=(2x+1)/(x),x!=0, where

Let f(x)={{:((1)/(x^(2))sin(x^(2))," when "xne0),(0," when " x=0):} Discuss the continuity of f (x) at x = 0 .

Let ^(*)f(x)={x^(^^)2;0=3' then

Let f(x)={{:((1-cos2ax)/(xsin2x),"when " xne0),(" " (1)/(2),"when " x =0):} If f (x) is continuous at x = 0 , find the value of alpha .

Let f(x)={(1-cos x)/(x^(2)), when x!=01,quad when x=0. Show that f(x) is discontinuous at x=0 .

Let f(x)={x^(2)+k, when x>=0,-x^(2)-k, when x<0 } .If the function f(x) be continuous at x=0, then k=

Let f(x)={{:(" "x^(2)/(2),"when " 0lexlt1),(2x^(2)-3x+(3)/(2),"when " 1 lexle2):} Discuss the continuity of (x) in the interval 0lexle2 .

Let f(x) =x^(p) cos (1/x) , when x ne 0 and f(x)=0 , when x=0 . Then f(x) will be differentiable at x=0 , if

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is