Step {{ currentStep }} of 5
Limits at Infinity
What happens to as ?
Action: Drag x to infinity 👉
x = 0
x = {{ s1.x.toFixed(1) }}
x → ∞
Notice how the curve flattens out!
Infinite Limits
What happens to as ?
Action: Drag x towards {{ s2.C }} 👈
x = {{ (s2.C + 5).toFixed(1) }}
x = {{ s2.x.toFixed(2) }}
x → {{ s2.C }}
The value explodes to infinity!
The Degree Rule
When , only the highest power terms matter. The smaller terms become insignificant.
Action: Tap the dominant terms
+
+
Correct!
Not quite. Find the highest power of x in the top AND bottom.
Limit Match-up
Evaluate by comparing degrees.
Action: Drag cards to the correct result
{{ bucket.desc }}
🚀
To Infinity and Beyond!
You've mastered limits at infinity and infinite limits.
- ✓ Horizontal asymptotes show end behavior ()
- ✓ Vertical asymptotes show unbounded growth ()
- ✓ For rational functions, compare highest degrees!