# 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

642

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
- 266 views
- $10.00

### Related Questions

- Minimizing the cost of building a box
- Compute the curl of $F=(x^2-\sin (xy), z-cox(y), e^{xy} )$
- Integrate $\int e^{\sqrt{x}}dx$
- Convergence of $\int_{1}^{\infty} e^{\sin(x)}\cdot\frac{\sin(x)}{x^2} $
- Optimization problem
- You have 100 feet of cardboard. You need to make a box with a square bottom, 4 sides, but no top.
- Mechanical principle help (maths)
- Get the volume and surface area of the paraboloid $z=4-x^2-y^2$ cut by the plane $z=4-2x$