If `f(x)={(xsin,((1)/(x)),xne0),(0,,x=0):}` Then, `lim_(xrarr0) f(x)`

Let f(x)={:{((|x|)/(x)",",xne0),(0",",x=0.):} Find lim_(xrarr0)f(x).

f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

Let f(x){{:((x)/(|x|)",",xne0),(0",",x=0):} Show that lim_(xrarr0)f(x) does not exist.

Let f(x)={{:((|x|)/(x)",",xne0),(2",",x=0.):} Show that lim_(xrarr0)f(x) does not exist.

Let f(x)={:{((3x)/(|x|+2x)',xne0),(0",",x=0.):} Show that lim_(xrarr0)f(x) does not exist.

If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 the function f is

If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim_(xrarr0)f(x) exists for n >1 (b) lim_(xrarr0)f(x) exists for n<0 (c) lim_(xrarr0)f(x) does not exist for any value of n (d) lim_(xrarr0)f(x) cannot be determined

If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):}, show that lim_(xto0) f(x) does not exist.

If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):}, show that lim_(xto0) f(x) does not exist.

If f(x)={{:((x-|x|)/(x)","xne0),(2", "x=0):}, show that lim_(xto0) f(x) does not exist.