4) Find lim
5a) (5 pts) Find lim inf (xn) and lim sup (rn), for rn = 4 + (-1)" (1 - 2). Justify your answer 5b) (5 pts) Find a sequence r, with lim sup (xn) = 3 and lim inf (x,) = -2. 5c) (10 pts) Let {x,} be a bounded sequence of real numbers with lim inf (x,) = x and lim sup (x,) = y where , yER. Show that {xn} has subsequences {an} and {bn}, such that an...
Use the graph to answer these questions. 10- a. Find lim f(x) and lim f(x). x-4 X-4 b. Find lim f(x) c. Find f(4) d. Is f(x) continuous at x = 4? Why or why not? y = f(x) 0 10
50. If lim f(x) = 6 and lim g(x) = 3, find (a) lim (5f(x) – 4g(x)] (b) lim (g(x) f(x) (c) lim (4 - f(x)] (d) lim - Lg(x). 54. Profit If the profit function for a product is given by P(x) = 92x - x - 1760 find lim P(x).
4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c) 4. Find the following limits by using L'Hôpital's rule. 1 + a) lim.-o 3 x cosx-sinx b) lim-o x sinx lim x-1x-1. c)
Use the graph to find the following imits. 6- a. lim f(x)b. lim f(x) x-3 4 2 a. Find f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes lim x→-3 in your choice. -4 -2 OA. f(x)= lim (Type an integer.) O B. The limit does not exist. b. Find lim f(x) or state that it doesn't exist. Select the correct choice below and fill in any answer boxes x→-1 in...
If lim x→5 f(x) = 6 and lim x→5 g(x) = −4, find the following. Thank you in advance no lectures to go off of
2n2-31+1 b. lim cos 1. Find the following limits: a. lim 1 00 --- 3n2+4 n-00
x² +4 Find the following limit: lim rr3 + x2 + 2
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20