Use the given Maclaurin series to evaluate the limit.
Use the given Maclaurin series to evaluate the limit. x - ln (1 + x) lim...
6. 10 pts. Use Maclaurin series (see table on other side) to evaluate the limit ex – 1 – 2 lim X+0 x arctan x
Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim, 0 2x+cos 2-3 sino 1+36x3-1 (b) lim;-+0 sin(60)(et-1-2)
Use series representation(s) to evaluate the following limit (You may not use L'Hopital's rule). . X – 1 (Hint : ln(x) = ln(1 + (x – 1)]). x+1 ln(x) lim
(4) Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim-0 21+ucos g -3 sin e 136.23-1 (b) lim 0 sin(6x)(e-1-1)
(1 point) Use Maclaurin series to calculate the given limit. Tables of series have been provided by your instructor and can also be found on page 571 of the textbook. In(1 - x) +*+ lim 20 9.3 Answer: -1/6 If you don't get this in 3 tries, you can get a hint
2nt The Maclaurin series of f(x) is Š S 19 +1. The Maclaurin serie N=0 (a) What is the open interval of convergence of this Maclaurin series? O(-00,00) O(-1,1) O(-,) O(-2,2) 0 (0,1) (b) Evaluate the limit w lim x0 f(x) - x3 (Hint: It helps to write down the first few terms of the series.)
Evaluate the following limit using Taylor series. -X- In (1 - x) lim x→0 106² - x - In (1 – X) lim (Simplify your answer.) x→0 1082
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File
Use series to evaluate the limit. Solutions using l'Hospital's rule will not be given credit. : - In(1+0) (a) lim 2012 1- COSI (b) lim >01+- et
Find the Maclaurin series for f(x) = cos (x*). (Use symbolic notation and fractions where needed.) cos (x4) = E O Use the found series to determine f(8)(0). (Use decimal notation. Give your answer as a whole or exact number.) f(8)(0) = TRIGONOMETRIC ALPHABET MORE HELP mn 4 of 6 > Compute the limit by substituting the Maclaurin series for the trig function. (Use symbolic notation and fractions where needed.). sin (9x) – 9x + 2 lim X-0