Use the taylor series you just found for sinc(x) to find the taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based at 0. a. give your answer using summation notation. b. give the interval on which the series converges.

In this question (link) I derived the Taylor series for about :

Then the Taylor series for

is obtained by integrating the series above:

We have , so and so

which converges by the ratio test if the following limit is less than 1:

Like in the linked problem, the limit is 0 so the series for converges everywhere.

4

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet