limit of a sum
What limit of a sum means in Mathematics A-Level, as defined for AQA, WJEC.
Definitions of limit of a sum
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Reference: AQA
The sum of areas of rectangles tends to a value as the number of strips increases without bound and the width of each strip tends to zero.
The exact definite integral obtained as strip width shrinks to zero and the number of strips grows without bound.
Topics that use limit of a sum
- H: Integration (AQA A-Level)
- Integration (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Area between curves
- Definite integral
- Integration by parts
- Integration by substitution
- Accumulation functions and their derivatives
- Algebraic rearrangement and factorisation
- Antiderivative
- Area under a curve
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