Limiting value of a sequence (AQA GCSE Further Maths): Flashcards

The value that terms approach as $n$ becomes very large

Examine nth term as $n \to \infty$

$n \to \infty$

Sequence where nth term is a fraction

Highest power of $n$ in the expression

Approaches zero (never equals zero)

$\frac{2}{3}$

Never write $\frac{1}{n} = 0$

Without limit or endlessly large, not an actual number

Divide numerator & denominator by highest power of $n$

All approach zero

$\frac{1}{n} \to 0$ as $n \to \infty$ (approaches, not equals)