Question

Taylor’s theorem is mainly used in expressing the function as sum with infinite terms. true or false​

Answer 1

Answer:

Taylor's theorem is mainly used in expressing the function as sum with infinite terms. Explanation: Taylor's theorem helps in expanding a function into infinite terms however, it can be applied to functions that can be expressed finitely

Answer 2

Answer:

Step-by-step explanation:

Taylor’s theorem is mainly used in expressing the function as sum with infinite terms.

True           [ × ]

False         [ ✔ ]

Taylor's theorem:-

Taylor's theorem gives an approximation of a n-times differentiable function around a given point by a polynomial of degree n, called the nth-order Taylor polynomial.

For a smooth function, the Taylor polynomial is the truncation at the order n of the Taylor series of the function. The first-order Taylor polynomial is the linear approximation of the function, and the second-order Taylor polynomial is often referred to as the quadratic approximation. There are several versions of Taylor's theorem, some giving explicit estimates of the approximation error of the function by its Taylor polynomial.

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