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# Limits (Metric)

## Class Details

Tom Baker

Learn, or revise, limits of sequences and functions, including special cases and L'Hopital's Rule.

## Units

### Limits

The limit of $$a_n = f(n)$$ as $$n$$ tends to $$\infty$$.

Lesson

The limit of $$f(x)$$ as $$x$$ tends to $$a$$ or $$\infty$$.

Lesson

The special case where $$f(x)$$ is the difference between two square or cube roots.

Lesson

Convergence of $$\sin x/x$$ as $$x$$ tends to $$0$$.

Lesson

The limit of $$f(x)/g(x)$$ as $$x\to a$$ in the case where $$f(a)=g(a)=0$$.