(1 point) Let F be the function below. having a hard time seeing the picture clearly, click on the picture. It will...
Let F be the function below. If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a larger picture on its own page so that inspect it more clearly. you can Evaluate each of the following expressions. Note: Enter 'DNE' if the limit does not exist or is not defined. a) lim F(x) = lim F(x) = lim F(x) = F(-1) = 2-1 2-1+ 2-1 b) lim F(x) = lim F(x)...
(1 point) Answer the questions based on the graph of y = f(x) shown above. If you are having a hard time seeing the picture clearly, click on the picture. It will expand to a larger picture on its own page so that you can inspect it more clearly. a) f ? continuous at 0. b) f ? continuous at 1. c) f ? continuous at 2.
S2 - 2 – 22 if I < 2 Let f(n) = { | 2:- 5 if > 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim, f(a) = 0 Preview lim f(x) = Preview lim, f(z) = 0 Get help: Video Preview Points possible: 1 This is attempt 1 of 2.
Let f be defined on an open interval I containing a point a (1) Prove that if f is differentiable on I and f"(a) exists, then lim h-+0 (a 2 h2 (2) Prove that if f is continuous at a and there exist constants α and β such that the limit L := lim h2 exists, then f(a)-α and f'(a)-β. Does f"(a) exist and equal to 2L? Let f be defined on an open interval I containing a point a...
im having trouble understanding limits (1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 -1 -2 Find the limit of f(x) as x -+0+ for ” does not exist” enter ” DNE” 79 79 99 for enter negative in finity” for ” +00” enter " positive in finity" (1) Use the given graph of the function f(x) to answer the following questions. 3 2 0 0 1 2 3 4 -27...
explain clearly please Problem 3 (6 points each). Evaluate the following limits algebraically, showing all work. If the limit does not exist, then write DNE and explain why it does not exist. You may use L'Hospial's rule but if you do you must specify that you have done so. (a) lim (e-2x + 2 tan-? (3.)) (5) limun (2+1) (c) lim a tan (1/1)
The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.) (a) \(\lim _{x \rightarrow 2}[f(x)+g(x)]\)(b) \(\lim _{x \rightarrow 1}[f(x)+g(x)]\)(c) \(\lim _{x \rightarrow 0}[f(x) g(x)]\)(d) \(\lim _{x \rightarrow-1} \frac{f(x)}{g(x)}\)(e) \(\lim _{x \rightarrow 2}\left[x^{3} f(x)\right]\)(f) \(\lim _{x \rightarrow 1} \sqrt{3+f(x)}\)
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
Use the graph of f(x) below, answer each of the following questions. If the limit does not exist, write DNE: 4 3 2. 1 -5 -2 1 2 3 4 5 1 -2 -3 -4 f(5) = f(-4) = lim f(x) = 2-75- lim f(x) = x~ lim f(x) = 27-4- lim f(x) = I 27-4 27-2 lim f() = At what values of x is f(x) discontinuous? Give the intervals on which f(x) is continuous.
1. Consider the function -F5 sin(r) for r f(x) =2 for 1< 3 2-25 for 3 x2 -9x + 20 Evaluate the following limits You do not have to cite limit laws, but you must show how you arrived at your answer If a limit Does Not Exist, explain why. You should use oo or -oo where applicable Calculating the limit using L'Hopital's Rule will receive NO CREDIT. (a) lim f(x) r-+0 (b) lim f(x)= z-1 (e) lim f(z) (d)...