Find the MacLaurin Series and Its Interval of Convergence

Q69: Find the Taylor series about c =

Q70: Find the Fourier Series of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg"

Q71: Determine if <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg" alt="Determine if

Q72: Determine all values of p for which

Q73: Determine if <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg" alt="Determine if

Q75: Determine if <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg" alt="Determine if

Q76: Show that <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg" alt="Show that

Q77: Estimate the sum of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5869/.jpg" alt="Estimate

Q78: Determine the radius and interval of convergence.

Q79: Determine convergence or divergence of the series.