Maclaurin Series and Power Series - Products and Quotients of Power Series

Maclaurin Series and Power Series - Products and Quotients of Power Series

TGM Original Questions

Find the Maclaurin’s series for \(y={{e}^{3x}}\ln \left( 1+\frac{x}{2} \right)\) up to the term \({{x}^{3}}\).

Video Solution:

Video solution locked

A free account saves your progress; this video needs a course plan.

Create free account Sign in Get the H2 Math course · from S$39.98/mo

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Create a free account to practise similar questions.

Create free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Answer:\(\displaystyle e^{3x}\ln\left(1+\frac{x}{2}\right)=\frac{x}{2}+\frac{11}{8}x^2+\frac{23}{12}x^3+O(x^4)\)

Need help? Join our JC Math tuition classes.