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Use the figure below to give an approximate value for the limit limf (x) (If it...
2x+5xy* 1) Let f(x,y) = *3+x3y2 Which among the following is true about limf(x,y)? (x,y)--(0,0) a. By using the two path test we can deduce that the limit does not exist b. By using the two path test we can deduce that the limit exists c. The limit is 2 d. None of the above O a. O b. O c. O d. 2) Let f(x,y) Vx+1-y+1 xy Then lim f(x,y) (xy)+(0,0) a. is 0 b.is c. is 1 d....
Please be clear on the answers. Thank you.
Use the following function and its graph to answer (a) through (d) below AY 104 x<4 5-x, Let f(x) = 3x 4 +1. > 4 5 5 10 a. Find lim f(x) and lim f(x). Select the correct choice below and fill in any answer boxes in your choice OA lim fx) = 5.75 lim fix) = (Simplify your answer.) X-4" OB. The limit does not exist. Use the following function and...
Please answer both 1.1 and 1.2
Question
1.1:
Enter the value of the following limit if it exists, or enter
DNE and upload an explanation of why the limit does not exist:
Question 1.2:
Enter the value of the following limit if it exists, or enter
DNE and upload an explanation of why the limit does not exist:
We were unable to transcribe this imagelim f(a) x +3+ lim f(x) 270-
101 8 7 6 5 4 2 r -10 -3 -6 4 10 -7 Give numeric values for each of the following. Write "DNE" if the value does not exist and "0" or "-20" as appropriate. lim f'(-8) = lim f(x) = 1() de f(3+At) - (3) lim (1) = lim A- lim f(x) - (2) 12 I-2 lim f(1) = limf(1) =
parta-
Use linear approximation, i.e. the tangent line, to
approximate as follows:Let f(x) = x 6.
The equation of the tangent line to f(x) at x = 2 can be written
in the form y = mx+b
where
is:
and where
is:
Using this, we find our approximation for 1.86is
Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a
calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box...
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.
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is the limfm)? (-2,2), 2 (0.1) (3.0) I -4 -3 -2 - 1 2 4 5 (-2-1) (3-1) -1 -2 1) The limit does not exist. 2) The limit is 1 3) The limit is 3 4) The limit is 0. Question 2 (1 point) Question 2 (1 point) Use the figure shown to answer the following question. What is the lim f(x)? (6,5), (1.4)...
(1 point) Find lim vx+10. If the limit increases or decreases without bound, write inf or -inf, respectively. If it does not exist and cannot be represented by +oo or -oo, enter DNE. i.) If the limit does not exist, explain why. Check ALL that apply: A. The function is not defined beyond a particular bound in the direction of-co B. The function's behavior as x increases/decreases without bound does not approach one set value (for example, if the function...
1. Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" if limit does not exist.) lim : x→10 (x−10)/(x2−100)= 2. Evaluate the limit. (Use symbolic notation and fractions where needed.) lim : x→−6 (x^2+13x+42)/(x+6)= 3. Evaluate the limit: lim : x→0 (cot7x)/(csc7x)= 4.Evaluate the limit. (Use symbolic notation and fractions where needed. Enter "DNE" in answer field if limit does not exist.) lim : x→1 [(7/(1−x)) −(14/(1−x^2))]=
Determine whether f is differentiable at the given point. If f'(a) exists, give its value. HINT [See Example 3.] (If an answer does not exist, enter DNE.) f(x) = x1/5 + 6 (a) a = 32 (b) a = 0