Find the limits of the following sequences, if they exist. n+ (-1)" COS n An =...
8.2 Determine the limits of the following sequences, and then prove your claims. (a) (n = (b) b = 1 (c) C = Amis = 1 sinn
2n2-31+1 b. lim cos 1. Find the following limits: a. lim 1 00 --- 3n2+4 n-00
3. Limits. The limits below do not exist. For each limit find two approach paths giving different limits Calculate the limits along each path. You may want to use Taylor series expansions to simplify the limits. sin (x) (1-cos (y) a) lim (y)(0,0 x+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 b) lim (y)(8,0) cosx + In(1+ PATH 1: LIMIT 1 PATH 2: LIMIT 2 3. Limits. The limits below do not exist. For each limit find two approach...
LETSn=(n+1)/n+(-1)^n*cos(n*pi/6)Find the set of sub-sequential limits of {Sn}infinity n=1
I, II, and III please!!!! Problem 1 Find the limits of the following sequences (i) an- {V2, V2V2, \V2V/2V2, (iiu )
Problem 1 Find the limits of the following sequences (i) an- {V2, V2V2, \V2V/2V2, (iiu )
4pts each] 9. Find the limit of the following if the limits exist. If not, explain x -3x+2 1) lim +4 r-1 11) lim 111) lim + 3x + 4 iv) lim :-*x-4 v) If 2x-15g(x)=x-2x+3, find limg(x)
2. Find the limits of the following functions if they exist. Show all necessary work. If the limit is co or -00, then state this rather than that it does not exist: (2 points each) a. lim x+3 V6x-2-4 x-3 b. lim arctan(3x) x sin(x) 3. Find the average value of the function f(x) = 4x2 + 8x -1 on (-1, 3).
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211
number 4 1. Find the limit of the following sequences (find lim an) n n a.) an = n +3 b.) an = V35n n- 2. Determine whether the following series converge or diverge. -3 (n + 2)n + 5 b.) tan-'(n) n2 + 1 a.) 5 nel 3. Determine the radius of convergence and the interval of convergence of the series 2" (x – 3)" n n=1 n=0 (-1)", 2n 4. Using the power series cos(x) (2n)! (-« <...