Philip Martinson

Consider the function f(x) = 10^x a) write the power series for f(x) centered at a = 2 using summation notation b) Suppose you wanted to estimate the function "f" at values of x in the interval [1.9,2.1] using the 4th degree Taylor polynomial T(4)(x) for...

Prove that the sequence: {an} = {(1 + (ln(6)/(n)))^(2n)}infinity n=1 converges Note: I don't know how to solve or work out so show all your work. And give the answer in EXACT FORM example 3pi, sqrt(2), ln(2) not decimal approximations like 9.424,1.4242,12...

Consider the series below: infinity "series symbol" n= 1 ((1+5^n)/(27^n)) determine whether or not the series converges. If it converges, find the sum. Note: I don't know how to solve or work out so show all your work. And give the answer in EXACT FORM ex...

Use the Integral test to determine whether the series is convergent or divergent. infinity "series symbol" n=1 (ne^(n"pi")) Note: I don't know how to solve or work out so show all your work. And give the answer in EXACT FORM example 3pi, sqrt(2), ln(2) no...

Find the Maclaurin series for f(x) = e^(-x^2) Note: I don't know how to solve or work out so show all your work. And give the answer in EXACT FORM example 3pi, sqrt(2), ln(2) not decimal approximations like 9.424,1.4242,1232