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

For each of these estimates, use the error bound formula for alternating series.

Without a calculator, estimate (angle in radians) with an error below .

03

Some estimates using series

For each of these estimates, use the error bound formula for alternating series.

Find an infinite series representation of and then use your series to estimate this integral to within an error of .