let-this-page-contains-the-following-errorserror-on-line-1-at-column-224-xmlpars

Question

Let $g (x) = {\begin{matrix} \frac{x^{3} - 1}{x - 1} & if x \neq 1 \\ a & if x = 1 \end{matrix}$

For what value of $a$ is $g (x)$ continuous at $x equals 1$ ?

Accepted Answer

Answer

Answer

Answer

Let g(x)={x3−1x−1if x≠1aif x=1g\(\left\)(x\(\right\))=\(\begin{cases}\]\frac{x^3-1}{x-1}\) & \(\text{if }\)x\(\ne\)1\\ a & \(\text{if }\)x=1\(\end{cases}\) For what value of aa is g(x)g\(\left\)(x\(\right\)) continuous at x=1x=1?