4.Consider the function ƒ (x) =Xcosx-eta. Notice that using direct substitution, lim-x→0f(x)Xlimx →0cosx-et 0b. Complete the table (accurate to five decimal places) for ƒ(x).- 0.10.010.0010.001XXWhat does this usually indicate?c. Using the results in the table, what do you think the limit is?cosx-et0.01d. How confident are you that your answer in part c is the correct limit? Briefly explain.0.1

Answered: Consider the function f(x) = - cosx-et…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

4.
Consider the function ƒ (x) =
X
cosx-et
a. Notice that using direct substitution, lim-
x→0
f(x)
X
lim
x →0
cosx-et 0
b. Complete the table (accurate to five decimal places) for ƒ(x).
- 0.1
0.01
0.001
0.001
X
X
What does this usually indicate?
c. Using the results in the table, what do you think the limit is?
cosx-et
0.01
d. How confident are you that your answer in part c is the correct limit? Briefly explain.
0.1

Expert Solution

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Given function is

$f open parentheses x close parentheses equals fraction numerator cos x minus e to the power of x over denominator x end fraction$

We have to discuss about the limit $limit as x rightwards arrow 0 of fraction numerator cos x minus e to the power of x over denominator x end fraction$