Problem 2, (2 points) Use the given graphs of the function f (left, in blue) and g (right, in red) to find the following limits: lim|f(x)+g(x)] 1. lim[ƒ(x) + g(x)] = 2. lim[ſ(x) + g(x)] = 3. lim /(x)g(x) — help (limits) 4. lim 5. 33 0 g(x) lim √3/(x)= Note: You can click on the graphs to enlarge the images.

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

The graph below is the function f (x) -5 -4 -3 -2 -1 +-+ -3 -4 -S lim f(x) = x-3- lim f(x) = x-3 f(3) = lim f(x) = x 3+ 5 4 3 2 + Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. Ā 2. Determine if the function is continuous or discontinuous at the limit value. If it is discontinuous, indicate if the discontinuity is removable or non-removable. O The function is continuous at x = 3 O The function has a removable discontinuity at x = 3 O The function has a non-removable discontinuity at x = 3 If the function has a discontinuity at the limit value, check all the boxes that indicate why the function is discontinuous there.

Use the graph of the function f(x) to answer each question . (a) S(0) = (b) S(2) = 3 (c) S(3) (d) %3D lim f(x) = (c) lin f(r) = エー0 %3D 2 3 (f) lim S(x) = (g) lim f(r) = %3D (h) lim f(z) =

The graph below is the function f(x) -4 -1 lim x-2+ 5- 4 3 2 + Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity. f(-2) + lim f(x) = x-2- lim f(x) x--2 -2 f(x) =

If 2x - 2s f(x) sx2 - 2x + 2 for x 2 0, find lim f(x). x-2

Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x) = x-6 d. lim f(x) = x-2- 6- y = f(x) 4- 2- ΟΙ 2 -~ x 2 6 8

x2 + 8x + 15 if x 2. Find lim f(x). r-2+

c) lim f(x) x-1 2x - 1 if x 2 a) lim f(x) x→2- b) lim f(x) x→2+ c) lim f(x) X-2 3. Sketch the graph of a function that satisfies the following conditions: f(3) = 1 ; lim f(x) = -3; lim f(x) = 0: lim f(x) DNE %3D x-3- x-3+ x-3 Section 2.3: Evaluate the following limits. MacBook Air 吕0 DII O00 F3 F4 F5 F6 F7 F8 F9

For the function whose graph is given, statethe value of each quantity, if it exists. If it does not exist,explain why. "Answer letter G and H only"