`Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|`, x!=1,2 & 6, x=1 & 12 , x = 2 ` `then `f(x)` is continuous on the set` (a) R (b) R-{1} (c) R-{2} (d) R-{1,2}

Explanation

To determine the continuity of the function

\[
f(x) = \begin{cases}
\frac{x^4 - 5x^2 + 4}{|(x-1)(x-2)|} & \text{if } x \neq 1, 2 \\
6 & \text{if } x = 1 \\
12 & \text{if } x = 2
\end{cases}
...