Maclaurin Series — H2 Math prelim questions & worked solutions
Maclaurin series in H2 Mathematics (9758) covers building series from the standard expansions (MF27) by substitution and composition, the implicit-differentiation method, and small-angle approximations — then using a series to approximate or to read off a coefficient.Real 2025 prelim questions with full worked solutions. For guided help, see our JC H2 Maths tuition.
Anglo-Chinese Junior College · Paper 2Binomial expansion of (1-4x^2)^(-1/2), then integrate term by term for arcsin 2x.Dunman High School (DHS) · Paper 1Expand e^x sin(x+pi) by series multiplication, then match a binomial expansion to find constants.Jurong Pioneer Junior College · Paper 1Binomial expansion of 1/(4+9x^2) integrated to build the arctan Maclaurin series.National Junior College · Paper 1Binomial and exponential series build a composite expansion, then integrate to approximate an integral.Nanyang Junior College · Paper 1Expand cos(t^3), integrate term by term, then verify the integral exactly via sin(x^3).Raffles Institution · Paper 2Sine Rule small-angle expansion of a triangle side, then implicit differentiation for a Maclaurin series.River Valley High School · Paper 1Implicit differentiation of a differential equation to build the Maclaurin series for y and e^(arctan 3x).Temasek Junior College · Paper 1Sine Rule and small-angle binomial approximation for a triangle side in powers of theta.Temasek Junior College · Paper 2Implicit differentiation of a log-root function to build and deduce Maclaurin series.Victoria Junior College · Paper 2Expand ln(a+x), compose inside sin and cos, and judge an integral approximation.