Is the Taylor Polynomial of Degree 6 For $e^{-x^{2}}$ For X near 0 Given By

question 49

Short Answer

Is the Taylor polynomial of degree 6 for $e^{-x^{2}}$ for x near 0 given by $1+\frac{x^{2}}{2 !}+\frac{x^{4}}{4 !}+\frac{x^{6}}{6 !}$ ?

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Definitions:

Endocrine System

A collection of glands that produce hormones to regulate processes such as growth, metabolism, and reproduction.

Blood Cell Production

Blood cell production, or hematopoiesis, is the process by which new blood cells are produced in the body, occurring in the bone marrow.

Mineral Storage

The accumulation and retention of minerals in certain body tissues, which can serve various functions including structural support and enzymatic activity.

Skeleton Functions

The primary roles of the skeletal system, including providing structure to the body, facilitating movement, and protecting internal organs.