diff --git a/README.md b/README.md index e643511..3869373 100644 --- a/README.md +++ b/README.md @@ -112,6 +112,14 @@ $$\frac{1}{4}$$ #### 1g) $$\(\lim_{{x \to 3}} \frac{{x^3 - 27}}{{x^2 - 5x + 6}}\)## +}} \frac{{x^3 - 27}}{{x^2 - 5x + 6}} &= \lim_{{x \to 3}} \frac{{(x - 3)(x^2 + 3x + 9)}}{{(x - 2)(x - 3)}} \\ +&= \lim_{{x \to 3}} \frac{{x^2 + 3x + 9}}{{x - 2}} \\ +&= \frac{{3^2 + 3 \cdot 3 + 9}}{{3 - 2}} \\ +&= \frac{{9 + 9 + 9}}{{1}} \\ +&= 27 +\end{align*} +\] +