`f(x)=x , x lt 0 , 1, x=0, x^2, x gt 0` then find `lim_(x->0) f(x)` if exists

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

f(x)={x ,xlt=0 1,x=0,then find ("lim")_(xvec0) f(x) if exists x^2,x >0

Consider the function : " "f(x)={{:(x-2",", x lt 0), (" 0,", x=0), (x+2",", x gt 0.):} To find lim_(x to 0) f(x) .

If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):} , .then lim_(x to 0) f(x) is

If F (x) = {{:(-x^(2) + 1, x lt 0),(0,x = 0),(x^(2) + 1,x gt = 0):} , .then lim_(x to 0) f(x) is

For the function f(x)= {(x-1,x lt 0),(1/4,x=0) ,(x^2 , xgt0):} then lim_(x rarr0^(+))f(x) and lim_(x rarr0^(-))f(x) are

If f(x)={{:(,|x|+1, x lt 0),(, 0,x=0),(,|x|-1, x gt 0):}" then "underset(x to a)lim f(x) exists for all