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...
Given that lim f(x) = - 8 and lim g(x) = 7, find the following limit. x2 X2 lim [4f(x) + g(x)] X2 lim [4f(x) + g(x)] = X2 (Simplify your answer.)
Assume lim f(x) = 8 and lim g(x)=6. Compute the following limit and state the limit laws used to justify the computation. limf(x)g(x) + 16 limx19(x) + 16 = (Simplify your answer.) Select each limit law used to justify the computation. D A Constant multiple B. Quotient C. Power D. Root E Product F. Difference O Sum
Find each limit. Use – o or oo when appropriate. 3x-3 f(x) = (x-3)2 (A) lim f(x) (B) lim f(x) (C) lim X +3 f(x) x+3 x+3+ (A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x)= x+3 (Simplify your answer.) O B. The limit does not exist. (B) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A....
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
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...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
sin 4x f fx)complete the following table and use the results to predict lim f(x), if it exists. x→0 - 0.01 0.1 0.1 0.001 0.01 - 0.001 fx) Complete the following table. 0.001 0.001 0.01 0.1 - 0.01 f(x) (Type an integer or decimal rounded to seven decimal places as needed.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x)= | x→0 | (Round to the nearest integer as...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
2. Use the limit theorems to find the following limit. r? +10x + 25 lim x+5 Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f(x+h)-f(x) f'(x) = {im What is the slope of tangent line to this curve at x =-1?
16 Find the limit. lim (In xj8/x X-> 00 lim (In x)/x = (Simplify your answer.) X-00