Questions from General Calculus

Q: Determine whether the series is conditionally convergent, absolutely convergent, or

Determine whether the series is conditionally convergent, absolutely convergent, or divergent.

Q: Determine whether the series is conditionally convergent, absolutely convergent, or

Determine whether the series is conditionally convergent, absolutely convergent, or divergent.

Q: Find the sum of the series. /

Find the sum of the series.

Q: Evaluate the indefinite integral. Illustrate, and check that your answer

Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative (take C = 0).

Q: Find the sum of the series. /

Find the sum of the series.

Q: Find the sum of the series. /

Find the sum of the series.

Q: Find the area enclosed by the curve in Exercise 29.

Find the area enclosed by the curve in Exercise 29. Data from Exercise 29: At what points does the curve have vertical or horizontal tangents? Use this information to help sketch the curve.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Show that cosh x ≥1+ 1 2

Show that cosh x ≥1+ 1 2 x2 for all x.

Q: Evaluate the indefinite integral. Illustrate, and check that your answer

Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative (take C − 0).