`f(x)={{:(x^(3)-3", if " xle2),(x^(2)+1", if " xgt2):}` द्वारा परिभाषित फलन, एक सतत फलन है?

If f(x) = {{:( 1+ x ,"for " xle 2),( 5-x,"for " xgt 2):},then

If f(x) = {{:( 1+ x ,"for " xle 2),( 5-x,"for " xgt 2):},then

A function f(x) = {:{(1+x",",xle2),(5-x,","xgt2):} is

Find the points of discontinuity of the function f, where f(x)={{:(x^(3)-3", ""if "xle2),(x^(2)+1", ""if "xgt2):}

Find lim_(xto1)f(x) , where f(x)={{:(x^(2)-1","xle1),(-x^(2)-1","xgt1):}

A function f (x) is defined as follows: f(x)={{:(x^(4)-3,"when " xle2),(x^(3)+5,"when "xgt2):} Prove that the function f (x) is continuous at x = 2 .