please explain each of the steps and prove why was it correct for each of the problem and don't use L'Hopital's rule for 2 and 3, thank you.
Homework Answers
We evaluate the limiting value of the given function by using
graph and some limiting properties.
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please explain each of the steps and prove why was it correct
for each of the...
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...
1. Consider the function -F5 sin(r) for r f(x) =2 for 1< 3 2-25 for 3...
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)...
The exponential function V-e increases on the interval The logarithmic function y = ln ( x) incre...
The exponential function V-e increases on the interval The logarithmic function y = ln ( x) increases on the interval By definition, In(e) Hence, for all x >0 it follows that Ine-1)< In(e-1 and we immediately have thatx201x0 for all x>0 2.01 Since is a p-series with p- /n In (e"-1 by direct comparison, we conclude that 2.01 3b: Complete the outline to verify the convergence or divergence of the infinite series using limit comparison. In(e-1 and b" and then...
Evaluate the limit using techniques from Chapters 1 and 3 and using L'Hopital's Rule. lim x→−3...
Evaluate the limit using techniques from Chapters 1 and 3 and using L'Hopital's Rule. lim x→−3 5x2 + 1x − 42 x + 3 (a) using techniques from Chapters 1 and 3 (b) using L'Hopital's Rule
PLEASE ANSWER ALL! SHOWS STEPS 2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3...
PLEASE ANSWER ALL! SHOWS STEPS
2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate...
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No...
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
write clearly please! 2.02 3. Evaluate limit of lim, using L'Hopital's Rule 200 €2.C
write clearly please!
2.02 3. Evaluate limit of lim, using L'Hopital's Rule 200 €2.C
x-2 (No estimation, no l'Hopital's rule) [4]3. Use limit techniques from Chapter 1 of the text...
x-2 (No estimation, no l'Hopital's rule) [4]3. Use limit techniques from Chapter 1 of the text to evaluate lim 1+2 4x+1-3
Using I'Hopital rule, find 222 - 2 sin2() lim 20 Number f(2) b) Explain in words...
Using I'Hopital rule, find 222 - 2 sin2() lim 20 Number f(2) b) Explain in words the conditions required for L'Hopital's rule to apply to a limit of the form lim 2+0 g()
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...
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)...
The exponential function V-e increases on the interval The logarithmic function y = ln ( x) increases on the interval By definition, In(e) Hence, for all x >0 it follows that Ine-1)< In(e-1 and we immediately have thatx201x0 for all x>0 2.01 Since is a p-series with p- /n In (e"-1 by direct comparison, we conclude that 2.01 3b: Complete the outline to verify the convergence or divergence of the infinite series using limit comparison. In(e-1 and b" and then...
PLEASE ANSWER ALL! SHOWS STEPS
2. (a) Prove by using the definition of convergence only, without using limit theo- (b) Prove by using the definition of continuity, or by using the є_ó property, that 3. Let f be a twice differentiable function defined on the closed interval [0, 1]. Suppose rems, that if (S) is a sequence converging to s, then lim, 10 2 f (x) is a continuous function on R r,s,t e [0,1] are defined so that r...
Evaluate the limit using L'Hospital's rule e - 1 lim 10 sin(72) 38 Preview x/7 Evaluate the limit using L'Hospital's rule if necessary sin(6x) lim 1+0 sin(12.) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. וכפטנט Du Evaluate the limit using L'Hopital's rule 523 lim e41 Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
write clearly please!
2.02 3. Evaluate limit of lim, using L'Hopital's Rule 200 €2.C
x-2 (No estimation, no l'Hopital's rule) [4]3. Use limit techniques from Chapter 1 of the text to evaluate lim 1+2 4x+1-3
Using I'Hopital rule, find 222 - 2 sin2() lim 20 Number f(2) b) Explain in words the conditions required for L'Hopital's rule to apply to a limit of the form lim 2+0 g()
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