solve d-f Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0 tan 3.0 2.2 1 (b) limu+0+ In(X) (c) limx→ In(x + 3) – In(3x + 2) (d) limz+ x sin(5) (e) lim.+ 22-45 4" +3: (f) limo (#2) (g) lim + (e+ + a)*
12) Let f(A) = x + 1 xxo 0 x=0 (ax+ 2 x>0 a) Find lim f(x). X-70 b) Find lim F(x). X70 c) Find lim f(x). 13) Let f(x) = x - x .O 12.1 x 0 a) Find lim f(x). 6) Find
FIND THE LIMIT OF THE FUNCTION 1 1 lim x 3 X-3X-3 1 A) = 0 B) = c) II 3 9 D) = 0 1 E) = > =; 6) H)= Select one: a. A b.C C. G d. E e. H f. F g. D
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) lim (f(x) 15) x--0 (c) x-0 x--0 lim fx)+lim 15)1/2 l (y 15)12( ( 15)1/2 A) (a) Difference Rule (b) Power Rule (c) Sum Rule B) (a) Quotient Rule C) (a) Quotient Rule D) (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule (b) Difference Rule, Power Rule (c)...
6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
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....
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)
2. For f(x) = f(x) = $2x+5, Xs1 14 + 3x, x>1 a. Find f (1) b. Find lim f(x) X1 C. Is f(x) continuous? Why, or why not?
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