f(x) 12. If lim z = 5, find the following limits. (m) lim f(x) (b) lim
6) If lim f(x)=L and lim g(x)= M, then find: a) lim(/(x)+g(x)) b) lim 7) Sketch one possible graph of a function that satisfies the conditions, f(2)=5 lim f(x)=1 lim f(x)=5 8) fx+8 if x 50 Let f be the function defined by: f(x)={x2-5 if x > 0 a) Find: lim f(x) b) Find: lim f(x) c) Find: lim f(x) 9) Find each of the following limits. band a) lim b) lim
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)
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...
12 lim f(x), and lim f(x) Use oo or - co when appropriate ra x-a Find all vertical asymptotes, x= a, of the following function For each value of a, evaluate lim f(x) x-a x2 - 10x +21 f(x) = x2 - 7x + 12 Select the correct choice below, and fill in the answer box if necessary OA The vertical asymptote is x = The limits at this vertical asymptote are lim f(x)= xa lim f(x) xa and tim...
1. Find lim f(x) and lim f(x) for each of the following. Assign oo or - where appropriate: (a) f(z)=42 -2 (b) f(x)= 3r-2 (e) f(1)--5rt6 (x - 2)2 2. Find each of the f limits, assigning oo or-o where appropriate x+2z-1 (b)lm 3r-2 3 r-2 (c) li 42+1 (k) im (2r V4r2-8r 3) 15r-2 3. Find the horizontal and vertical asymptotes of each of the following functions 4. Sketch the graph of each of the following functions and determine,...
Q3. Find the following limits: x1 x+1 (b) lim (c) lim X-3 X-2
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)
5. (8 points each) Find the limits: V3x2-6 (a) lim X-00 2x -9X (b) lim x=0x2-sinx COS X (c) lim x X- 2 2
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.) Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)
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))=