have a test tom, could really use some help with these
questions please. please help
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have a test tom, could really use some help with these questions please. please help Question 0.4. Fi...
Could I have some help with this question please, would like to check my answer. 3. (a) Suppose f is continuous and lim...
Could I have some help with this question please, would like to
check my answer.
3. (a) Suppose f is continuous and lim f (x)-a. Prove that Jo f(t) dt = a im Hint: Begin with what it means in terms of the formal definition that lim f (x)=a. (b) Suppose f is continuous and lim f(x) = b. Prove that f (t) dt-b lim Hint: Begin in a similar way and note that then for large N and M,...
help me to solve this question please ( real analysis ) 1. For each of the...
help me to solve this question please
( real analysis )
1. For each of the following use Theorem 3.3.4 to determine if the limit exists and the value of the limit when it does exist. (d) lim 1-40 |+2 (b) lim VH (e) lim / +2 ( limsin Theorem 3.3.4. Suppose f is defined in a deleted neighborhood of a point c. Then lim-f(x) exists and equals Lif and only if both lim + f(x) and lim- f(x) exist...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and li...
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
real analysis 1,3,8,11,12 please 4.4.3 4.4.11a Limits and Continuity 4 Chapter Remark: In the statement of T...
real analysis
1,3,8,11,12 please
4.4.3
4.4.11a
Limits and Continuity 4 Chapter Remark: In the statement of Theorem 4.4.12 we assumed that f was tone and continuous on the interval I. The fact that f is either stric tric. strictly decreasing on / implies that f is one-to-one on t one-to-one and continuous on an interval 1, then as a consequence of the value theorem the function f is strictly monotone on I (Exercise 15). This false if either f is...
Exercise 1. This exercise builds on the method used to prove that if a function differetiable at ...
#1 & #2
Exercise 1. This exercise builds on the method used to prove that if a function differetiable at a point b, then it is also continuous at b. Suppose g : (-1,1) → R is a function such that g(0) = 7 and lim 9)-7-10 exists. Define G())7-10 on-l < x < 1 when x need to know the value of λ, but its existence is necessary in what follows. 0. Let λ be the limit of G(x)...
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is...
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)...
help with questions 1-4 Show all work - give exact simplified values for all answers For...
help with questions 1-4
Show all work - give exact simplified values for all answers For questions 1 and 2, algebraically find the given limit, if it exists. (8 pts each) 1. 3x 2. 4x2 - 9x - 9 lim lim *4- x2 + 9 *23 2x3 - 7x2 +9 3. (8 pts) Differentiate the given function. Completely factor your final answer. y = 7e-*cos x 4. (9 pts) Find the equation of the tangent line to the graph of...
Hi, can I please get some help with this question? Thank you Prove: If lim f(x)...
Hi, can I please get some help with this question? Thank you
Prove: If lim f(x) = L andlim g(x) = M, then lim(f(x) + g(x)) = L+M. x-a xna xa 3. State the converse of #2 above. Next, find a counterexample to the converse of #2 above.
send help for these 4 questions, please show steps Definition: The AREA A of the region...
send help for these 4 questions, please show steps
Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ax +f(x2)Ax+...+f(x)Ax] - 00 Consider the function f(x) = x, 13x < 16. Using the above definition, determine which of the following expressions represents the area under the graph off as a limit. A. lim...
Could I have some help with this question please, would like to
check my answer.
3. (a) Suppose f is continuous and lim f (x)-a. Prove that Jo f(t) dt = a im Hint: Begin with what it means in terms of the formal definition that lim f (x)=a. (b) Suppose f is continuous and lim f(x) = b. Prove that f (t) dt-b lim Hint: Begin in a similar way and note that then for large N and M,...
help me to solve this question please
( real analysis )
1. For each of the following use Theorem 3.3.4 to determine if the limit exists and the value of the limit when it does exist. (d) lim 1-40 |+2 (b) lim VH (e) lim / +2 ( limsin Theorem 3.3.4. Suppose f is defined in a deleted neighborhood of a point c. Then lim-f(x) exists and equals Lif and only if both lim + f(x) and lim- f(x) exist...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
Real analysis
10 11 12 13 please
(r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
real analysis
1,3,8,11,12 please
4.4.3
4.4.11a
Limits and Continuity 4 Chapter Remark: In the statement of Theorem 4.4.12 we assumed that f was tone and continuous on the interval I. The fact that f is either stric tric. strictly decreasing on / implies that f is one-to-one on t one-to-one and continuous on an interval 1, then as a consequence of the value theorem the function f is strictly monotone on I (Exercise 15). This false if either f is...
#1 & #2
Exercise 1. This exercise builds on the method used to prove that if a function differetiable at a point b, then it is also continuous at b. Suppose g : (-1,1) → R is a function such that g(0) = 7 and lim 9)-7-10 exists. Define G())7-10 on-l < x < 1 when x need to know the value of λ, but its existence is necessary in what follows. 0. Let λ be the limit of G(x)...
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)...
help with questions 1-4
Show all work - give exact simplified values for all answers For questions 1 and 2, algebraically find the given limit, if it exists. (8 pts each) 1. 3x 2. 4x2 - 9x - 9 lim lim *4- x2 + 9 *23 2x3 - 7x2 +9 3. (8 pts) Differentiate the given function. Completely factor your final answer. y = 7e-*cos x 4. (9 pts) Find the equation of the tangent line to the graph of...
Hi, can I please get some help with this question? Thank you
Prove: If lim f(x) = L andlim g(x) = M, then lim(f(x) + g(x)) = L+M. x-a xna xa 3. State the converse of #2 above. Next, find a counterexample to the converse of #2 above.
send help for these 4 questions, please show steps
Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ax +f(x2)Ax+...+f(x)Ax] - 00 Consider the function f(x) = x, 13x < 16. Using the above definition, determine which of the following expressions represents the area under the graph off as a limit. A. lim...
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