Use the graph of f to estimate each limit, or write und (meaning undefined) if no limit exists. Use inf for ∞.limx→1−f(x)= limx→1+f(x)= limx→1f(x)=

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

Select the second function, y = 1x2, for 0 < x ≤ 5.(a) Observe the graph of A(t) = t1f(x) dx in the second diagram. Does it appear that lim x → ∞ A(t) exists?YesNo    (b) Change the maximum value of x to 100 and observe the graph of A(t) again. Does it appear that lim x → ∞  A(t) exists?YesNo    If so, estimate the value of the limit. (If an answer does not exist, enter DNE.)lim x → ∞  A(t) = (c) Find the values of A(1000), A(10,000), and A(100,000).A(1000)  =  A(10,000)  =  A(100,000)  =  (d) The graphs of the first two functions (from the pull-down menu) look very similar. Can you explain why lim x → ∞  A(t) exists for one of the functions but not the other?

For the function f whose graph is shown, state the following. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)FigureThe x y coordinate plane is given. Refer to the adjacent description for more details.Description(a)lim x → −7 f(x)(0,2) (b)lim x → −3 f(x)DNE (c)lim x → 0 f(x)2 (d)lim x → 6− f(x)∞ (e)lim x → 6+ f(x)−∞ (f)the equations of the vertical asymptotes (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x = (−3,6)

Describe the behaviour of the graph of the function as x → – ∞ and as x → ∞.

Decide whether the limit exists. If it exists, find its value.lim f(x)x→1