Find the Taylor polynomial T2(x) for the function f(x)=ln(1+x) based a

Question

Notify Me Bookmark

Find the Taylor polynomial T2(x) for the function f(x)=ln(1+x) based at b=0. Use the Quadratic Approximation Error Bound to bound the error |f(x)−T2(x)| on the interval I=[-1/4, 1/4] Which of the following is true for all values of x in I? a. |f(x)−T2(x)| ≤ 0.0124 b. |f(x)−T2(x)| ≤ 0.0617 c. All of the above. Please provide explanation.

Find the Taylor polynomial T2(x) for the function f(x)=ln(1+x) based at b=0. Use the Quadratic Approximation Error Bound to bound the error |f(x)−T2(x)| on the interval I=[-1/4, 1/4] Which of the following is true for all values of x in I? a. |f(x)−T2(x)| ≤ 0.0124 b. |f(x)−T2(x)| ≤ 0.0617 c. All of the above. Please provide explanation.

Image text

Find the Taylor polynomial

T_{2} (x)

for the function

f (x) = \ln (1 + x)

based at

b = 0

.

T_{2} (x) =

Use the Quadratic Approximation Error Bound to bound the error

| f (x) - T_{2} (x) |

on the interval

I = [- \frac{1}{4}, \frac{1}{4}]

. Which of the following is true for all values of

x

in

I

?

| f (x) - T_{2} (x) | \leq 0.0124

| f (x) - T_{2} (x) | \leq 0.0617

All of the above.
None of the above.

Detailed Answer

Answer

Ask Your Doubt Rate This Answer Request Video Solution

Previous question

Next question

Student Reviews:
(2)
Correct answers (2)
Complete solution (2)
Step-by-step solution (2)
Fully explained (2)

Submit Questions

Similar/Related Questions

Solution

Solution

Solution