diff --git a/cheatsheet_limits.md b/cheatsheet_limits.md index cab9702..a97e3ed 100644 --- a/cheatsheet_limits.md +++ b/cheatsheet_limits.md @@ -31,7 +31,7 @@ If you got $\frac{0}{0}$, the limit *does* exist, but it is hiding in disguise. ### Step 3: Handling $\frac{\text{Number}}{0}$ (Vertical Asymptotes) If you get a normal number divided by zero, the graph is exploding to infinity or negative infinity. The overall limit **Does Not Exist (DNE)**, but your professor usually wants to know *which direction* it is exploding. -* **The Tactic:** Pick a decimal slightly to the left (e.g., $1.99$) and slightly to the right (e.g., $2.01$) of your target $x$-value. +* **The Tactic:** Pick a decimal slightly to the left (e.g., $1.99$) and slightly to the right (e.g., $2.01$) of your target **x-value**. * **The Goal:** You don't care about the exact number; you only care about the **Sign**. * If both sides equal a massive positive number, the answer is $\infty$. * If both sides equal a massive negative number, the answer is $-\infty$.