Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
Given that,
The expression is
e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
We have to find what degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
We know that,
What is the polynomial?
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
√e=1.64872
Pₙ( x)= e⁰⁵=1+0.5+0.5²/2!+0.5³/3!+.....
P₂=1+0.5+0.5²/2!=1.625
P₃= P₂+0.5³/3!=1.6458
P₄= P₃+0.5⁴/4!=1.648404
√e - P₄ = -0.0003158
Therefore, n=4 is the degree maclurins polynomial is required so that the error in the approximation is less than 0.001.
To learn more about approximation visit: https://brainly.com/question/15696262
#SPJ4
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
