Home
Class 12
MATHS
If f(x)={{:((x-|x|)/(x)","xne0),(2", ...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

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

Let f(x){{:((x)/(|x|)",",xne0),(0",",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.

Let f(x)={{:((|x-3|)/((x-3))",",xne3),(0",",x=3.):} Show that lim_(xrarr3)f(x) does not exist.

Given f(x)={((x+|x|)/x,x!=0),(-2,x=0):} show that lim_(xto0)f(x) does not exist.

Let f(x) be a function defined by f(x) = {{:((3x)/(|x|+2x),x ne 0),(0,x = 0):} Show that lim_(x rarr 0) f(x) does not exist.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

If f(x)={(x-|x|)/x ,x!=0, 2,x=0 , show that lim_(xrarr0) f(x) does not exist.