Taylor Series Approximation
Calculus & Optimization DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Taylor Series Approximation for Function Linearization, N-th Order Derivative Approximation, Factorial Computation, Power Series Expansion, Lagrange Remainder Theorem, Point-of-Expansion (x0) Sensitivity, Calculus, Numerical Analysis, Optimization Theory, Mathematical Modeling, Computational Mathematics, Differential Calculus, Polynomial Approximation, Convergence Criteria, Truncation Error, Function Linearization.
Implement a Python function 'taylor approx(f, x0, n, x)' that computes the n th order Taylor polynomial of a given callable function 'f' centered at 'x0', evaluated at 'x'. Assume 'f' is a lambda or function object representing a mathematical function.