01
Approximating
Using the series representation of
, show that: Now use the alternating series error bound to approximate
to an error within .
02
Some estimates using series
Without a calculator, estimate
(angle in radians) with an error below . (Use the error bound formula for alternating series.)
03
Some estimates using series
Find an infinite series representation of
and then use your series to estimate this integral to within an error of . (Use the error bound formula for alternating series.)