Question

Solve $\underset{x\to 2}{lim}x(x-1)(x+1)$

Answer 1

Considering the question to be,

Perform ${lim}_{x\to 2}x(x-1)(x+1)$

$=x(x-1)(x+1)$

$=x(x^2-1^2)$

Applying ${lim}_{x\to 2}$, we get,

$=2(2^2-1)$

$=6$

${lim}_{x\to 2}x(x-1)(x+1)=6$