3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
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)
1. (10 points) Find the following limits, if they exist. a) lim X+2 x 7.-3+ x +3 b) lim XCSCX x → 211
3) Let lim x1 f(x) = -9 and lim x1 g(x) = -6. Find lim x1 -5f(x) - 8g(x) 3 + g(x) . 3) Let lim f(x) = -9 and lim g(x) = -6. Find lim X-1 x1 [-5f(x) - 8g(x)] 3 + g(x)
f(x) 12. If lim z = 5, find the following limits. (m) lim f(x) (b) lim
Suppose that lim tex) = and lim g(x) = - . Find the following limits. x2 a. lim [f(x) +5g(x)] X2 b. lim [f(x)g(x)] c. lim [2f(x)g(x)] f(x) d. lim X 2LX) - g(x) X- 2 lim [f(x) + 5g(x)] =D (Type an integer or a simplified fraction.) lim [f(x)g(x)] = X- 2 (Type an integer or a simplified fraction.) lim [2f(x)g(x)] = X-2 Suppose that lim f(x) = and lim g(x) = - X2 X2 . Find the following...
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
1. Compute the following limits algebraically, if possible: 4.2 +1-3 (a) lim 5.2 – 1 (b) lim 2 - 2 100 3.42 - 2.c 2 (c) lim csc(7x) sin(4x) (d) lim lim (1+3) 20 22 (e) lim +01 – COS X
Find the limits.f(x)=2 x²-3 x+3, _______ g(x)=\sqrt[3]{x+3}(a) \lim x → 2 f(x)=(b) \lim x → 5 g(x)=(c) \lim x → 2 g(f(x))=
2.c) 2. Show that each of the following limits does not exist : (a) lim 1 + 2y (b) lim (2 + y) (x,y)--(0,0) -y (2.) +0,0) r? + y2 (d) 6ry lim (x,y)+(0,0) 24 + y (c) lim (x,y)0,0) - 2 + y