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Question

Let g(x)={x3−1x−1if x≠1aif x=1g\left(xight)=\begin{cases}\frac{$$x^3-1$$}{x-1} & 	ext{if }x
e1\ a & 	ext{if }x=1\end{cases} For what value of aa is g(x)g\left(xight) continuous at x=1x=1?

Accepted Answer

33

Answer

11

Answer

−3-3

Answer

00

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?

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 $x equals 1$ ?