For each of the following numerical series, study its convergence or its divergence, by specifying the...

For each of the following numerical series, study its convergence or its divergence, by specifying the criterion used Let? (?) = ∫cos (?3) dx

(a) (3 points) ExpressF (x) as a series of powers.

(b) (2 points) Limiting to the first four non-zero terms of the previous series, estimate the value of ? = ∫√? cos (?3) ??. −√?

(c) (1 point) Evaluate the error made by this approximation.

Expert Solution

Do check the limits. if the limits are swapped then just put negative sign at the answer, because the integral limits are not properly oriented.

Thus, error (in difference) = 0.2058 (in actual and series value)

Upvote, if the answer was helpful. Have a nice and safe day.

genius_generous answered 2 years ago

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