Anglo-Chinese Junior College
Binomial expansion of (1-4x^2)^(-1/2), then integrate term by term for arcsin 2x.
Open question & worked solutionFree practice / JC2 H2 Maths Prelim
Maclaurin Series — JC2 H2 Maths Prelim Questions & Worked Solutions
Choose a question, attempt it on paper, then compare your working with the step-by-step solution.
11 questionsWorked solutionsFree to access
About these questions
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.
Questions & worked solutions
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Dunman High School (DHS)
ex sin (x+ pi ); binomial match
Open question & worked solutionJurong Pioneer Junior College
1/(4+9x2); arctan series
Open question & worked solutionNational Junior College
Binomial and exponential series build a composite expansion, then integrate to approximate an integral.
Open question & worked solutionNanyang Junior College
cos (t3); integrate; verify
Open question & worked solutionRaffles Institution
Triangle; implicit diff to x5
Open question & worked solutionRiver Valley High School
Implicit differentiation of a differential equation to build the Maclaurin series for y and e^(arctan 3x).
Open question & worked solutionTemasek Junior College
Small angle; triangle approx.
Open question & worked solutionTemasek Junior College
Implicit differentiation of a log-root function to build and deduce Maclaurin series.
Open question & worked solutionTampines Meridian Junior College
Maclaurin + sketch + approximation
Open question & worked solutionVictoria Junior College
ln (a+x); composition; integral
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