Mathematical Scratchpad
Practices on Power Series
Find the interval of convergence for the following power series. [Be sure to check the convergence at the end points.]
If Find the power series for and find its interval of convergence.
If
Find the power series for and find the interval of convergence.
Find the power series for and find the interval of convergence. [hint: is the antiderivative of . ]
Find the power series for and indicate its interval of convergence.
If find the power series for
Use series to approximate up to three decimal places.
Find the power series for (hint: )
Find the power series for
Find the Maclaurin series for by hand.
Find the first four nonzero terms of the Maclaurin series for