Given that the series kcoskt kº +2 k=1 converges, suppose that the 3rd partial sum of the series is used to estimate the sum of the series. Which of the following values gives the best bound on the remainder (error) for this approximation? a. 1/2
b. -3 / 29
c. 2/ 33
d. 1/5

c

Step-by-step explanation:

Given that:

since cos (kπ) =

Then, the  series can be expressed as:

In the sum of an alternating series, the best bound on the remainder for the approximation is related to its term.

∴

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a