A Taylor series represents a smooth function near a point using an infinite polynomial built from derivatives.
What Is Taylor Series?
A Taylor series represents a smooth function near a point using an infinite polynomial built from derivatives.
Examples of Taylor Series
1
eˣ = 1 + x + x²/2! + x³/3! + …Formula and Key Points
Formula / rule
f(x)=Σ f⁽ⁿ⁾(a)(x−a)ⁿ/n!
- Know the definition and standard notation for Taylor Series.
- Be able to recognise or compute taylor series in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.
Related Math Terms
Taylor Series: Frequently Asked Questions
What is Taylor Series?
A Taylor series represents a smooth function near a point using an infinite polynomial built from derivatives.
Why is Taylor Series useful in computer science?
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.