6. 10 pts. Use Maclaurin series (see table on other side) to evaluate the limit ex...
Use the given Maclaurin series to evaluate the limit. x - ln (1 + x) lim x-0 ex - 1 - 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)
(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
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) 6 x 1 + x4 dx 4 lim n → ∞ n i = 1 arctan(36)−arctan(16)2 ❌ Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.) to it yox arctan(36) - arctan (16) Need Help? Read Watch Master It...
Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = 5 cos( ) Š f(x) n = 0 T-sr x" = 1 + x + x2 + x + ... R=1 x x et = 1 + + + + R = 00 1! 2! 3! 20+1 sin x= (-1)" (2n + 1)! = X- + +... R=00 3! 5! 7! 2 r+ COS X = + — +... R= 00...
M ULIJJJ040_1Wurses/5_202020_22458_MATH_01230/test2%2011 6. (10 pts.) Evaluate the limit if it exists or show the limit does not exist: (a) lim(=,y)=(2,1) 7°+27° In(4 - ry) (b) lim(.)=(0,0) 7. (12 pts.) If : = 2 cos r + ex-3y, (a) find is, zy, že tay, and zwy (or if you prefer to and ). (b) Evaluate all these derivatives at the origin.
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.)
2. Evaluate lim ? (Do NOT use a table or a graph to evaluate the limit.) [6 pts]
(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)
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