Level {{ step }}
The Substitution Test
Always try plugging it in first!
Tap to substitute
Indeterminate Form (0/0)!
We need algebra to solve this.
Factor & Cancel
Expand the numerator and remove the problem.
Drag to cancel
Canceled!
Evaluate the limit
Rationalize
Multiply by the conjugate to clear the root.
×
Numerator
Denominator
Pick the conjugate
Final Answer
Perfect!
Special Trig Limit
Rewrite as using
{{s4.k}}
{{s4.c}}
×
=
{{s4.k}}
{{s4.c}}
×
{{ s4.num }}
{{ s4.den }}
Adjust multipliers
Balanced and Solved!
🏆
Limit Master!
You conquered direct substitution, factoring, rationalizing, and special trig limits!