Use the graphs of f and g in the accompanying figure tofind the limits that exist. If the limit does not exist, explainwhy.(a) limx → 2 [f(x) + g(x)]

Define f, g : R → R by f (x) = (x − 2)2 andg(x) =1 if x > 0,0 if x = 0,−1 if x < 0.Calculatelimx→2 g(f (x)) and g limx→2 f (x)

Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)(a)    lim x → 2− f(x)(b)    lim x → 2+ f(x)(c)    lim x → 2 f(x)(d)    f(2)(e)    lim x → 4 f(x)(f)    f(4)

Use the graph to find the indicated limits.Step 1 of 3 :  Find limx→2−f(x)lim𝑥→2−⁡𝑓(𝑥).

8. Using the Sandwich Theorem:(a) If 2 − x2 ≤ g(x) ≤ 2 cos x for all x, find limx→0g(x).

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