please explain them on papers with pen so i can understand

For what values of x does the series converge conditionally? 36) (7x)n n=0 A ) x = B) x =0 C) x =-7 D) None Find the Maclaurin series for the given function. 37) 4 + X A) S (-1)n xn .4n+1 B) (in xn n=0 n=0 4n C) " (In xn+1 4n D) (-1)n xn n=0 4n+1 38) e7x 18 A) (-1)n zn xn n! B) (-1)n 7n xn iM 8 n=1 n=0 n! 7n xn C 2 7n xn n! D) > n=1 n! n=0 Find the Taylor series generated by f at x = a. 39) f(x) = e4x, a -8 A) e32 4n+1 (x - 8)n B) e32 4n (x - 8)n n=0 n! n=0 (n + 1)! e32 4n+1 (x - 8)n e32 4n (x - 8)n (n + 1)! D) n! n=04n+1 20) n=1 8n-1 A) Converges; 8 B) Converges; 32 C) Converges; 64 D) Diverges Find the values of x for which the geometric series converges. 21) > (x -6)n n=0 A) 5 ( x - 2)n 2n + 1 n =0 A) 2 B) , for all x43) For approximately what values of x can sin x be replaced by x with an error of magnitude no greater than 5 x 10-7? A) Ixl