`lim_(x to 3)(|x-3|)/(x-3)` बराबर है :

lim_(x rarr3)(|x-3|)/(x-3)=

lim_(x rarr3)([x]-3)/((x-3))

lim_(xto3)(x^(2)-x-6)/(x-3) is

Evaluate: lim_(x rarr 3) (|x-3|)/(x-3) .

lim_(x->3)(x^(3)-27)/(x-3)

lim_(x rarr3)(x^(2)-9)/(x-3)

lim_(x rarr3)-(x+3)/(|x+3|)

lim_(x-> 3) ((x^4 -81)/(x-3))

If f(x) = |x-3| + 2 , evalute lim_(x to 3 + ) (f(x)-f(3))/(x-3) and lim_(x to 3 - ) (f(x)-f(3))/(x-3) Hence examine the differentiability of f(x) at x = 3 .