Does the following limit exist? Prove your result. lim tan - 1- 0 Estimate the following...
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
[3] 3. Find the following limit or show that it does not exist. 1 a. lim nto n2 + 3i n +1
Find the following limit or show that it does not exist. 1 ¿ lim no n2 + 32 n +1
Please prove in two cases the case where the limit equals 0 and
the case where the limit is greater than 0. thanks!
Prove the negative-valued version of the limit comparison test, that is: Theorem 1. Suppose that a negative-termed series an is to be treated for convergence or divergence. Then: 1. If there exists a converging series bn with bk < 0 for each k, such that lim line is finite, then Lan convergese. n-00 2. If there exists...
Prove that the limit does not exist: lim (x,y,z)--> (0,0,0) (xy +yz) / (x2+y2+z2)
(3) 6 +0 (a) Determine the following limits (if they exist) (1) lim sin 0+tan 36 0 1- (u) lim 1-1 1-3 5 + 3t (11) lim 143 (+3+ 2t2 - 3 (3) (3) (1v) lim 2-2+ (3) -at - bt + ab (v) lam +62 + 2abt - 4202), a, b are real numbers
Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x = a to support your conjecture. Xa e g(x) = 10x - 10x - 1 x2 a=0 Use a graphing utility to graph g. Select the correct graph below. A. B. Ос. OD Each graph is displayed in a [-1,1] by [0,60] window. Use the graphing utility to estimate lim g(x). Select the correct choice below and, if...
Write DNE if the limit does not exist at a point. 1. lim g(x) = -1 Help on limits. 2. lim g(x) = 3 3. limg(x) = 0 M 4. lim g(x) = -4 5. g(1) = 2
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)! (-« <...
number 4 as clearly as possible
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...