Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = e−3x

The equation of by Maclaurin series is .

Step-by-step explanation:

The Maclaurin series for is defined by the following formula:

(1)

Where is the i-th derivative of the function.

If , then the formula of the i-th derivative of the function is:

(2)

Then,

(2b)

Lastly, the equation of the trascendental function by Maclaurin series is:

(3)

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)