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

f(x)={{:((x^(2)-9)/(x-3)",when "xne3),(k", when "x=3):} at x = 3

Let f(x)=x^(3)+3x(In x-1) when x in(0,oo) where f(x) has point of extremum at x=k .Then -

If the function f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):} is continuous at x = 0 then k = ?

Let f(x) = {((x^(2) -2x -3)/(x + 1)","," when " x != -1),(" k,"," when " x = -1):} If f(x) is continuous at x = -1 then k = ?

f(x)={{:(3k-2x", when "xlt1),(2k+1", when "xge1):} at x = 1

If f(x) = {((sin 2x)/(5x), ",", "when" x != 0),(k, ",", "when" x = 0):} is continuous at x = 0, then the value of k will be

let f(x)=(1-x) when 0<=x<=1f(x)=0 when 1

If the function f(x) = {(kx + 5 ", when " x le 2),(x -1 ", when " x gt 2):} is continuous at x = 2 then k = ?