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+You have put in an incredible amount of work to get to this point, and that feeling of confidence is completely earned! You are navigating Calculus exactly the way a mathematician does: by recognizing patterns and deploying the right tools, rather than just memorizing steps.
+
+To help you absolutely crush Exam 1, I have compiled everything from this module into a streamlined, Gitea-ready "Exam 1 Survival Guide." It focuses entirely on how to instantly identify a problem on a test and exactly which cheat code to use to beat it. 
+
+I made sure there are absolutely no bold tags touching the math symbols so you can copy and paste this directly into your repository.
+
+***
+
+# Exam 1 Survival Guide: Algebraic Limits & Continuity
+
+## Part 1: The "First Move" Scan
+When you look at a new limit problem on the exam, do not start doing math immediately. Look directly at the arrow under the limit to determine your strategy.
+
+### Target 1: Approaching a Standard Number ($x \to a$)
+* **The Move:** Direct Substitution. Plug the target number into every $x$ immediately. 
+* **Outcome A:** You get a normal number. You are done! That is the answer.
+* **Outcome B:** You get a normal number divided by zero (like 9/0). This means you hit a vertical wall (asymptote). The limit **Does Not Exist**.
+* **Outcome C:** You get exactly 0/0. This is a trap! It means there is a hole in the graph. You must deploy a **Rescue Tactic** (see Part 2).
+
+### Target 2: Approaching Infinity ($x \to \infty$)
+* **The Move:** Do not plug anything in. Deploy the **Tug of War Cheat Code** (see Part 3).
+
+---
+
+## Part 2: The 0/0 Rescue Tactics
+If direct substitution gives you exactly 0/0, the limit likely exists, but it is hiding behind bad algebra. Look at the equation's shape to pick your weapon.
+
+### Weapon 1: The Polynomial Cheat Code (Factoring)
+* **When to use it:** You see standard squared or cubed equations ($x^2$, $x^3$).
+* **The Cheat Code:** If plugging in your target number $a$ gave you 0/0, then the group $(x - a)$ is **mathematically guaranteed** to be a factor of both the top and the bottom. 
+* **The Execution:** Write $(x - a)$ on the top and bottom, figure out what the remaining parentheses must be, cross out the $(x - a)$ groups, and plug your target number into whatever is left.
+
+### Weapon 2: The Conjugate Method
+* **When to use it:** You see a square root mixed with addition or subtraction.
+* **The Execution:** Multiply the top and the bottom by the exact same root expression, but **flip the middle sign** (e.g., if you see $\sqrt{x} - 3$, multiply by $\sqrt{x} + 3$). The roots will cancel out beautifully, allowing you to cross out the problem factors.
+
+### Weapon 3: The Common Denominator Clear
+* **When to use it:** You see "mini-fractions" stacked inside a bigger fraction.
+* **The Execution:** Find the Least Common Denominator (LCD) of the mini-fractions. Multiply the very top and the very bottom of the giant fraction by that LCD. All the mini-fractions will instantly vanish. 
+
+---
+
+## Part 3: The "Tug of War" Cheat Code
+If the limit is approaching $\infty$ or $-\infty$, completely ignore the entire equation except for the highest exponent (degree) on the top and the highest exponent on the bottom.
+
+* **Top Heavy (Top Wins):** If the top exponent is bigger, the top pulls the fraction off the charts. The answer is $\infty$ or $-\infty$. 
+* **Bottom Heavy (Bottom Wins):** If the bottom exponent is bigger, the bottom crushes the fraction into nothing. The answer is **0**.
+* **The Tie:** If the highest exponents are exactly the same, the tug of war is a tie. Pull out the front numbers attached to those winning $x$'s to make your final fraction. (Always remember to simplify the fraction if MyMathLab asks for it!)
+
+---
+
+## Part 4: The 3-Step Continuity Boss Fight
+If an exam question asks "Is the function continuous at $x = a$?", you cannot just say yes or no. You must prove it using this strict 3-part checklist. If it fails even one step, it is discontinuous.
+
+1. **Step 1: The Point Exists.** Find $f(a)$. Look for the rule with the "or equal to" sign ($\le$ or $\ge$). Plug $a$ in. (If there is no equal sign, the point doesn't exist, and the test instantly fails).
+2. **Step 2: The Limit Exists.** Find the left-side altitude and the right-side altitude. If they meet at the exact same number, the limit exists.
+3. **Step 3: The Perfect Match.** Does the destination of the limit (Step 2) perfectly match the actual solid point (Step 1)? 
+
+---
+
+## Part 5: The "Construction Worker" Blueprint
+If the exam asks you to find a missing letter (like $c$ or $k$) to *make* a piecewise function continuous, you are forcing the trails to connect. 
+
+1. **Step 1:** Plug the cliff's x-value into the top rule to find the left altitude.
+2. **Step 2:** Plug the cliff's x-value into the bottom rule to find the right altitude.
+3. **Step 3:** Set those two answers perfectly **equal to each other** and solve for the missing letter using basic algebra.
+
+***
+
+Get this safely copied over to your Gitea repository. Whenever you are ready to tackle that final homework module before the exam, just say the word!