Free mathematical exploration. This laboratory is optional practice; it never changes scores or unlocks the Academy’s required 80% mastery gates.
Choose a limit model
Question: What are the left-hand and right-hand limits? Do they agree? Does the function’s assigned value at the target change the limit?
Numerical approach from both sides
| Distance | x from left | f(left) | x from right | f(right) |
|---|
The table supplies numerical evidence. It is not, by itself, a proof of the limit.
Graphical approach
Explain and verify
Give a reason for your prediction. Use a factorization, theorem, one-sided comparison, or counterexample as appropriate.