`f(x)={|x-a|sin(1/(x-a)),\ \ \ for\ x!=a0,\ \ \ for\ x=a` at `x=a`

Explanation

Given,



`f(x)= {x-a) sin (frac{1}{x-a}), x equiv a 0, x=a`



We observe that,



`lim _{x -> a}(x-a) sin (frac{1}{x-a})`



...