Precalculus Bridge to Calculus

Capstone: pick f(x) = (x² − 4)/(x − 2). Simplify, state the hole, graph the simplified line, and compute limₓ→2 f(x). That single exercise is the doorway into calculus.

Skills calculus assumes

Capstone: pick f(x) = (x² − 4)/(x − 2). Simplify, state the hole, graph the simplified line, and compute limₓ→2 f(x). That single exercise is the doorway into calculus.

Fluent algebra: expand, factor, simplify rationals.
Function sense: domain, composition, inverses, transformations.
Trig identities and unit-circle values without a calculator.
Exponential/log solving and graph shapes.
Comfort reading limits of simple rational expressions.

Next recommended course: Calculus — Complete Course on the Mathematics learning path.