just let me know answers only. don't need to explain

DEIA VERS Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f ( x) = e4X, c=0 00 (4)n-1 f ( x ) = > ( u ) n n! n = 0 X Need Help? Read It 2. [-/2 Points] DETAILS LARCALC11 9.10.007.MI. Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x) = cos x, f ( x ) = ) n = 0 Need Help? Read It Master It 3. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9. 10.021. Use the binomial series to find the Maclaurin series for the function. (Use for 1 . 3 . 5 .. . (2n - 27n! f ( x ) = - 1 - x 3 00 3n f (x ) = 1+ > 22n -1 n = 1 X Need Help? Read It3. [-I2 Points] DETAILS LARCALC11 9.4.020. Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 Z 4\" + 1 n = 1 7\" + 1 4\"+1 O converges O diverges Need Help? Use the Limit Comparison Test to determine the convergence or divergence of the series. 2 sin(l) n n = 1 sin(l) n O converges O diverges Need Help? . [12 Points] DETAILS LARCALC11 9.4.022.M|. Use the Limit Comparison Test to determine the convergence or divergence of the series. 03 Z 1 n2(n2 + 2) n=1 4 n2n2+2g O converges O diverges Need Help? 9. [-I2 Points] LARCALC11 9.8.042. Find the interval of convergence of the power series, where c > 0 and k is a positive integer. (Be sure to include a check for convergence at the endpoints of the interval. Enter your answer using interval notation.) i: [_1)n + 1(x _ c)\" n=1 \"5n Need Help? A