[" (d) discontinuous at origin because "(1)/(x)" is discrantinumens the "],[[" 17.If "f(x)={[(sin2x)/(x)" for "x=0," is continuous at "x=0," deen "1],[" the for "x=0," (b) "2]]]

tan x is discontinuous at x = …..

If f(x)={sin((1)/(x)),x!=00,x=0 then it is discontinuous at-

Show that f(x)={1+x^(2), if 0 1 is discontinuous at x=1

Show that f(x)={1+x^2, if 0 1 is discontinuous at x=1 .

The discontinuous points of f(x)=(1)/(log |x|)" are "

Show that the function f(x)={{:((|x-a|)/(x-1)", "x!=a),(1", "x=a):} is discontinuous at x=0 .

If f(x)=(1)/((1-x)) and g(x)=f[f{f(x))} then g(x) is discontinuous at

f(x)={x}^2-{x^2} ( where {.} denotes the fractional part function) a) f(x) is discontinuous at infinte number of integers but ot at all inetgers b) f(x) is discontinuous at finite number of integers (c) f(x) is discontinuous at all integers (d) f(x) is continuous at all integers