3. Calculate the following limit by using the power series of ex 15 3 -e* lim...
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
Compute the limit by using known power series
2. lim 30 · (arctan (2) – sin (2)) 1 - cos (22)
Use the given Maclaurin series to evaluate the limit.
x - ln (1 + x) lim x-0 ex - 1 - x
solve please now
Evaluate the following limit using Taylor series. 8 tan* *(x) – 8x+x lim x³0 33³ 8 tan (x) – 8x + x2 lim X-0 = (Simplify your answer.) 3x
7. Find the limit using L'Hospital's Rule. (4 pts) 1 lim X+0+ x ex - 1)
i need help with #6, #15, and # 17. please and thank
you!
1 lim 8 lim- 22 2 lim Problems for $1.3 For problems 1 through 14: By replacing functions with a few terms of their asymptotic series, find the following limits. et - 26 +1 tan(x) – sin(x) cosh(x) 20 cos(2) - 11 - 22 9 lim sin(x) sin (x) – 2,2 1-0 24 *+0 tan(x) tan-(x) - 22 3 lim x2 + x -2 10 lim x1...
Evaluate the following limit using Taylor series. 3 lim 2x2 zle x2 1 X>00
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 Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
Consider the following power series. E (1) Let a, - (-1)"x". Find the following limit. Find the interval and radius of convergence R for the given power series. (Enter your answer for interval of convergence using interval notation) 1- (-1,1)