Taylor Polynom/Lagrange form om the remainder term.
2. For f(x) = (lnx)/x , x > 0, compute the Taylor polynomial P(x) of degree
three centered at the point x = e. Using the Lagrange form of the remainder term,
find an interval (e−δ, e+δ) in which the approximation of f by this polynomial is no worse than ε = 10^−2 ,
|f(x) − P(x)| < ε, x ∈ (e − δ, e + δ).
You may without proof use that 2 < e < 3.
Stickix02
44
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment
Aman R
643
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 390 views
- $10.00
Related Questions
- Calculus: INFINITE SERIES
- Spot my mistake and fix it so that it matches with the correct answer. The problem is calculus based.
- In what direction the function $f(x,y)=e^{x-y}+\sin (x+y^2)$ grows fastest at point $(0,0)$?
- Epsilon delta 2
- Vector-valued functions and Jacobian matrix
- Calculus - Differentiation
- Prove the trig identity $\sec x- \sin x \tan x =\frac{1}{\sec x}$
- Explain why does gradient vector points in the direction of the steepest increase?