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Limits (Metric)

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 \(\infty\).

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

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

Convergence of \(\sin x/x\) as \(x\) tends to \(0\).

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