I keep getting “Limit” questions wrong in Limits & Continuity. What's the trap?
assuming the limit always equals the function's value at that point.
The usual trap: assuming the limit always equals the function's value at that point. How to avoid it: a limit can exist where f(a) doesn't — it's about approaching, not arriving. Go back to the definition — the value a function approaches as the input nears a point, even if it isn't defined there.
Key point
Limit
Common mistake
assuming the limit always equals the function's value at that point.
Memory tip
a limit can exist where f(a) doesn't — it's about approaching, not arriving.
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