Exponential function, Maclaurin series.

[STEP III 1997 Question 1 (Pure)]

Maclaurin series, coefficient, power series, differentiation, trigonometric functions, proof by induction.

[STEP III 1995 Question 5 (Pure)]

Proof by induction, derivatives, logarithmic function, Maclaurin series, coefficient, power series.

[STEP III 1994 Question 5 (Pure)]

Logarithm, differentiation, hyperbolic function, exponential function.

[STEP III 1992 Question 1 (Pure)]

Sum, logarithm, exponential function.

[STEP III 1991 Question 1 (Pure)]