Introduction to Limits

General Mathematics — Second Secondary

Common mistakes

Key points

Thinking the limit is the value at the pointthe limit looks at the behaviour around a, not necessarily at f(a).

Checking only one sideboth sides must be checked before deciding that a limit exists.

Treating 1/0 as 0division by zero is undefined, and it often signals that the limit does not exist.

Substituting directly when the result is 0/0if substitution gives 0/0, no conclusion can be drawn yet. Simplify the fraction first.

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