`f(x)={{:(cosx",","when",x ge0, ),(-cosx",", "when", x lt0):}` is discontinuous at x =0

f(x)={{:(3-x",","when",x le0, ),( x^(2)",", "when",xgt0):} is discontinuous at x=0

Show that the funcation f(x)={{:(3x-2",", " when ", x le0),(x+1",", " when ", x gt 0):} is discontinuous at x =0

Show that the function f(x)={{:(x/|x|",", " when ", x ne0),(1",", " when ", x =0):} is discontinuous at x=0

f(x)={{:((sin3x)/(x)",","when",x ne0 ),( 1",", "when",x=0):} is discontinuous atx =0.

Show that the function f(x) ={{:( (7x+5)",","when" x ge 0), (( 5-3x)",", "when", x lt 0):} is a continuous function.

f(x)={{:(-x",","when",x lt0, ),(1",", "when", x =0),(x",","when",xgt0):} is discontinuous at x = 0

f(x)={{:(2x",","when",x lt0, ),(2",", "when", x =2),(x^(2)",","when",xgt2):} is discontinuous at x=0

Find the value of m, such that the function f(x){{:(m(m^(2)-2x)","," x" lt0),(cos .x ","," x" ge0):} is continuous at x=0.

Prove that, q(x) = {(|x|/x, when x ne 0),(0, when x = 0):} is discontinuous at x = 0.

Let f(x) = {:{((sinx)/x + cosx, when x ne 0),(2, when x = 0):} show that f (x) is continouous at x = 0.