100000, which of the following 6-values suffices? When demonstrating that lim 1.5 2 3 oo with M 0.00000500 8=0.00001000...
Use the graphs to identify the values of c for which lim f(x) does not exist. (Enter your answers as a comma-separated list.) 5 4 3 1 X 1 2 3 4 5 -5 -4 -3 -2 -1 -1 -2h (b) 21 -6 -2 Consider the following function and graph. f(x) = 8 + -10-8-6-4-2 2 4 6 8 10 -2 Determine whether f(x) approaches oor - as x approaches 2 from the left and from the right. (a) lim...
6. Suppose Σχο akrk converges when x-3 Give 2 other values of x for which Σ , akrk uppose Ž 0 aka.. converges when x = must converge. 8 7. Indicate if the following are always true or may be false (a) If lim a 0, then Cay converges. (b) If ak > bk 2 0 and Σ bk diverges, then Σ ak converges. (c) If ak > 0 and 'lim k-0, then Σ ak converges (d) If ak >...
lim k+ +oo For the series k, let L Which of the following statements does NOT follow from the Ratio Test? The series diverges when L> 1 The series converges when L < 1 The series converges when L 0 None of the other options The series diverges when L 1.
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....
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,...
Consider the following lim 6 8 4 2 2 4 8 10 -2 -3 -10 Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.)
Question 3 0/1 pts r-2 lim Does not exist O 0 oo (which means 'does not exist but has a certain behavior O 1 O-00 (which means 'does not exist but has a certain behavior)
1. (8) Evaluate the following limits: (a) lim«;? () lim (6:1)".
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
101 8 7 6 5 4 2 r -10 -3 -6 4 10 -7 Give numeric values for each of the following. Write "DNE" if the value does not exist and "0" or "-20" as appropriate. lim f'(-8) = lim f(x) = 1() de f(3+At) - (3) lim (1) = lim A- lim f(x) - (2) 12 I-2 lim f(1) = limf(1) =