Let f(x) = x/√(x2+1)
Let f(x) = x/√(x2+1)
(a) Use L'Hôpital's Rule to evaluate the limit as x → ∞. What do you notice? Explain.
(b) Evaluate the limit as x → ∞ using another method. Show all steps.
Homework Answers
do question 14 13. (-/6 Points] DETAILS LARCALC11 5.6.030. Evaluate the limit, using L'Hôpital's Rule if...
do question 14
13. (-/6 Points] DETAILS LARCALC11 5.6.030. Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use coor-co, enter INFINITY or --INFINITY, respectively.) lim x06 - X 14. [-15 Points] DETAILS LARCALC115.6.036.MI. Evaluate the limit, using L'Hôpital's Rule if necessary. In x2 lim * -
#2 1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3...
#2
1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3 lim 2+3 22 – 5x + 6 Note that 3 is a zero of the denominator polynomial, so you need to use the technique of Example 4.2.5(d) p. 113. 2. (8 points) In the previous problem, can L'Hôpital's Rule be applied? If so, evaluate the limit using L'Hôpital's Rule; if not, indicate how the limit expression does not satisfy the conditions required for L'Hôpital's...
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)...
Evaluate the following limit. Use I'Hôpital's Rule when it is convenient and applicable. x2 + 4x...
Evaluate the following limit. Use I'Hôpital's Rule when it is convenient and applicable. x2 + 4x + 3 lim- ---3- 18 - 3x + x2 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. x2 + 4x + 3 lim 5 = lima x--3 -18-3x + x? *-+-3 Enter your answer in the answer box and then click Check Answer. part remaining Clear All
Let f(x) = k(5x − x2) if 0 ≤ x ≤ 5 and f(x) = 0 if...
Let f(x) = k(5x − x2) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5. (a) For what value of k is f a probability density function? k = ______ (b) For that value of k, find P(X > 1). P(X > 1) = _______ (c) Find the mean. μ =________ Please show all work neatly, line by line, and justify steps so I can learn. Thank you!
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution....
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's...
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x+-2 x+2 Vx+2 What is the most efficient way for this limit to be evaluated? Select the correct choice below and, if necessary O A. Manipulate the given expression algebraically to rewrite the limit aslim x -2 O B. Take the natural logarithm of the expression and then l'Hôpital's Rule to rewrite the limit as X-2 O...
2 Let X1, X2, ..., X., be independent continuous random variables from the following distribution: f(x)=ox-(-V...
2 Let X1, X2, ..., X., be independent continuous random variables from the following distribution: f(x)=ox-(-V where = 1 and a > 1 You may use the fact: E(X)= -1 2.1 Show that the maximum likelihood estimator of a isante = sok X. 2.2 Show that the method moment estimator for a is: & mom = 1 2.3 Derive a sufficient statistic for a. What theorem are you using to determine sufficiency?
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to...
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
Let f(x) =1/(1+x2)
Let f(x) =1/(1+x2) (a) Prove that f(x) is continuous at any a ∈ R. (b) If e = 0.1 and a = 10, find a 6 that satisfies the definition of continuity. Do the same for a = 50 and a = 100. (c) Recall from the in-class portion of Exam 2 that you proved that g(x) = 3x + 5 is continuous at any a ∈ R. For ε = 0.1 and a = 10, find a δ that works. Repeat for a=...
do question 14
13. (-/6 Points] DETAILS LARCALC11 5.6.030. Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use coor-co, enter INFINITY or --INFINITY, respectively.) lim x06 - X 14. [-15 Points] DETAILS LARCALC115.6.036.MI. Evaluate the limit, using L'Hôpital's Rule if necessary. In x2 lim * -
#2
1. (8 points) Evaluate the limit, without using L'Hôpital's Rule: x² – 2x - 3 lim 2+3 22 – 5x + 6 Note that 3 is a zero of the denominator polynomial, so you need to use the technique of Example 4.2.5(d) p. 113. 2. (8 points) In the previous problem, can L'Hôpital's Rule be applied? If so, evaluate the limit using L'Hôpital's Rule; if not, indicate how the limit expression does not satisfy the conditions required for L'Hôpital's...
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)...
Evaluate the following limit. Use I'Hôpital's Rule when it is convenient and applicable. x2 + 4x + 3 lim- ---3- 18 - 3x + x2 Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. x2 + 4x + 3 lim 5 = lima x--3 -18-3x + x? *-+-3 Enter your answer in the answer box and then click Check Answer. part remaining Clear All
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
1 *+-2* (*+2 Vx+5 - 00 (Type an exact answer.) Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x+-2 x+2 Vx+2 What is the most efficient way for this limit to be evaluated? Select the correct choice below and, if necessary O A. Manipulate the given expression algebraically to rewrite the limit aslim x -2 O B. Take the natural logarithm of the expression and then l'Hôpital's Rule to rewrite the limit as X-2 O...
2 Let X1, X2, ..., X., be independent continuous random variables from the following distribution: f(x)=ox-(-V where = 1 and a > 1 You may use the fact: E(X)= -1 2.1 Show that the maximum likelihood estimator of a isante = sok X. 2.2 Show that the method moment estimator for a is: & mom = 1 2.3 Derive a sufficient statistic for a. What theorem are you using to determine sufficiency?
Evaluate the following limit using l'Hôpital's Rule. 7In x-7 lim X-e Xe Use l'Hôpital's Rule to rewrite the given limit so that it is not an indeterminate form. 7in x-7 lim X-e = lim Xe Xe Evaluate the limit. 7In x-7 7 = (Type an integer or a fraction.) lim X-e X-e n. Find the solution of the following initial value problem. p' (t) = 65 e -; (O) = 280 The solution of the initial value problem is p(t)...
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