diff --git a/README.md b/README.md index 07c0eac..4afe176 100644 --- a/README.md +++ b/README.md @@ -14,23 +14,23 @@ ## 1. Find the limits: a) **Limit Expression:** - +
$$\\begin{align*} -\Large \lim_{{x \to 3}} \frac{{x^2 - 9}}{{x - 3}} +\large \lim_{{x \to 3}} \frac{{x^2 - 9}}{{x - 3}} \end{align*} \$$
-* **Simplified Form:** The numerator $\Large x^2 - 9$, can be factored as ( (x + 3)(x - 3) ), which simplifies the expression to: +* **Simplified Form:** The numerator $\large x^2 - 9$, can be factored as ( (x + 3)(x - 3) ), which simplifies the expression to:
$$\\begin{align*} -\Large \lim_{{x \to 3}} (x + 3)
 +\large \lim_{{x \to 3}} (x + 3)
 \end{align*} \$$ @@ -44,7 +44,9 @@ $$\large 3 + 3 = 6$$
-* **Explanation:** The limit as ( x ) approaches 3 for the function ( \frac{{x^2 - 9}}{{x - 3}} ) is 6. This is because the factor ( x - 3 ) in the denominator cancels out with the same factor in the numerator, leaving ( x + 3 ) which evaluates to 6 when ( x ) is 3. +* **Explanation:** The limit as ( x ) approaches 3 for the function $\frac{{x^2 - 9}}{{x - 3}}$ is 6. + + This is because the factor ( x - 3 ) in the denominator cancels out with the same factor in the numerator, leaving ( x + 3 ) which evaluates to 6 when ( x ) is 3.