" I Show that "lim_(x rarr0)(x)/(|x|)" does not exist."

lim_(x rarr0)(|x|)/(x)

Show that (lim)_(x rarr0)(1)/(2) does not exist.

Show that lim_(x rarr0)sin((1)/(x)) does not exist

Prove that : lim_(x rarr 0)(x)/(|x|) does not exist.

lim_(x rarr0)(cotx)^(x)

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.

Prove that : lim_(x rarr 0) (|x|)/(x) does not exist.

lim_(x rarr0)[(x)/([x])]=

lim_(x rarr0)(xcotx)

Evaluate lim_(x rarr0)(sin)(1)/(x) does not exist.