Fundamental limit rules with funny intuition

Let’s go over the fundamental limit rules (sum, difference, multiple, quotient, power) with their mathematical formulas and a funny or intuitive twist for each one.

🎯 1. Sum Rule

📏 Rule:

🤣 Funny Intuition:

Limits are like emotions in a group chat. If two people are chill separately, they’ll still be chill together. 😎 + 😎 = 😎
“If Bob and Alice are both stable, their sum won’t explode.”

🎯 2. Difference Rule

📏 Rule:

🤣 Funny Intuition:

Subtracting two calm people still results in calmness. No drama.
“Like splitting the bill with a friend who owes you money—still balanced.”

🎯 3. Constant Multiple Rule

📏 Rule:

🤣 Funny Intuition:

A constant just tags along like a chill sidekick. Doesn’t change the plan.
“If Batman’s going to Gotham, Alfred goes too—but quietly.”

🎯 4. Product Rule

📏 Rule:

🤣 Funny Intuition:

If both functions are on time, their product won’t crash the party.
“It’s like teamwork in a 3-legged race—both need to cooperate to cross the finish line.”

🎯 5. Quotient Rule

📏 Rule:

🤣 Funny Intuition:

You can’t divide by someone who’s ghosted.
“Trying to split a pizza with a friend who disappears is just sad… and undefined.” 🍕➗👻 = 🚫

🎯 6. Power Rule

📏 Rule:

🤣 Funny Intuition:

If a function behaves well, then squaring it just makes it “extra nice.”
“It’s like your grandma’s cookie recipe—already good, now doubled!”

🎯 7. Root Rule

📏 Rule:

🤣 Funny Intuition:

Roots don’t mess with chill functions.
“If your limit is polite, the root won’t spit in your face.” 😇

BONUS 🎁: Combine These Like LEGO Blocks

All these rules can be stacked. Like:

Limits are lazy. They love small talk—just break things up, simplify, and ask each part what’s up.