Problem 55E

Maximum error Use the remainder term to estimate the maximum error in the following approximations on the given interval. Error bounds are noi unique.

ex ≈ 1 + x + x2/2;

Solution 55E

Step 1:

Given that

ex ≈ 1 + x + x2/2;

Step2:

To find

Use the remainder term to estimate the maximum error in the following approximations on the given interval.

Step3:

Because on the given interval we have the remainder after two terms will be less than .

So, the maximum error will be

==

=0.125