(a) Use a graph of 10-(1-2)" f(x) = to estimate the value of lim (f(x)) correct to two decimal places. X→ ∞ (b) Complete the following table of values of f(x) to estimate the limit to four decimal places. (Round your answers to six decimal places.) X f(x) 10,000 100,000 1,000,000 Estimate the limit to four decimal place.

b. Find lim (x/x²+1=x²)

Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

Sketch the graph of the function f. f(x) =    −5x + 7      if x < 1 4   if x = 1 x2 + 1   if x > 1 whats the lim at a=1

Given the graph of f(x) at the left, determine the following: a. f(6) = b. lim f(x) = C. x-2 lim f(x) = x-6 d. lim f(x) = x-2- =

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y h 4- -2 -4 -2 2 4 8 (a) X → -3- lim h(x) (b) X → -3+ lim h(x) (c) lim h(x) X → -3 (d) h(-3) (e) lim h(x) X → 0- (f) lim h(x) X → 0+ 6

Use the graph of h in the given figure to find the following values, if they exist. Ay 10- (a) h(3) (b) lim h(x) 8- 6- X→3 (c) h(6) (d) lim h(x) 4- (e) lim h(x) X→7 (a) Find h(3). Select the correct choice below, and fill in the answer box if necessary. h(3) =| (Type an integer or a decimal.) A. %D B. h(3) is undefined.

; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

Use the graph of f to state the value of each quantity, if it exists. If infinite, specify either o or -o. (If an answer does not exist, enter DNE.) lim f(x) = (→ -4 a. b. lim f(x) = x - -2 C. f(-2) = d. lim f(x) = x- -1+ lim f(x) = х— -1 е. f. lim f(x) = x - 3 lim f(x) = x- 3+ g. h. f(3) = i. lim f(x) = x- -00 j. lim f(x) =

Use the graph of f(x) in the given figure to find the following values, if they exist. (b) lim f(x) (a) f(1) X→1 (d) lim f(x) (c) f(0) Ay 12- 10- 8- y=f(x} 4- 2- -2 -2- -4- -6-