f(x)={[(sin3x)/(x),," when "x!=0],[1,," when "x=0]" .Find whether "f(x)" is continuous at "x=0

If f(x)={(sin3x)/(x), when x!=01,quad when x=0. Find whether f(x) is continuous at x=0

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0

If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find whether f(x) is continuous at x=0 .

If f(x)={{:(x+sinx,"when "xlt0),(0,"when "xge0):} examine whether f(x) is continuous at x = 0.

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

A function f (x) is defined as followes: f(x)={{:(xsin.(1)/(x),"when " xne0),(0,"when " x=0):} Show that f (x) is continuous at x =0 .

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

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

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

f(x) = {(|x+1|/(x+1),when x!= -1),(0, when x = -1):} Test whether f(x) is continuous or not at x= -1