That said, here are, as dictated by Dr. Crotteau, the problems on tomorrow's test, for those who were not present and/or not paying attention today. Click links to videos on topics for clarification.
- Does a given sequence converge or diverge?
- Given an amount of money invested annually, and an equation for the interest rate, calculate the total money after 7 years.
- Does a given series converge or diverge? If it is convergent, write the sum.
- Write a decimal as a ratio of two integers.
- Use a binomial series to expand as a power series, and find the radius of convergence.
- Given the Marginal Propensity to Consume (MPC), find the multiplier.
- Find the 7th partial sum of a series to 5 decimal places.
- Use the sum of the first 9 terms to approximate the sum of the series.
- Does the given series converge or diverge?
- For what values does a series converge?
- Test a series for convergence or divergence.
- Find the ration of convergence of series (*use ratio test).
- Find the Maclaurin series for f(x).
- Find the Taylor series for function centered at a=1; polynomial function (limited number of terms)
- Use binomial series to expand a function and find the radius of convergence.... (1+x)^k--->|x|=L < 1
- Find Maclaurin series for a sin or cos function
- Use multiplication or division of power series to find Maclaurin series for product of e^x and a trigonometric (sin or cos) function.
- Use a binomial function to expand as a power series.
- Given a table (evaluation of a Taylor polynomial), find degree of Taylor polynomial (write functions and evaluate for x)
- Use alternating series estimation theorem to find the interval of convergence of a Taylor series (given error)
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