The PowerPoint introduces limits as the foundation of differential calculus for IB Mathematics AA SL. It explains why limits are needed to find the gradient of a tangent, beginning with secant gradients and then shrinking the gap so the secant approaches the tangent.
It then defines a limit formally, covers one-sided and two-sided limits, and introduces the main limit laws. The presentation includes algebraic examples using direct substitution, factorising a 0/0 indeterminate form, and finding limits at infinity. It also shows how limits can be checked using the TI-Nspire CX GDC.
The final section connects limits directly to differentiation through first principles:
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