Discuss the continuity of `f(x)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a` at `x=a`

Explanation

We have,
`

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


We see that,
`

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


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