Question

Use L' Hopital's to find the limit as x approaches positive infinity of: 

(e^(3x))/(x^(2))

I hope you have a nice day! 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Evaluate the integrals in Exercises 31-3v. Some integrals do not require integration by parts. cos V...

A:  

Q: Use these formulas to express the numbers in terms of natural logarithms. 61. sinh-' (-5/12) 63. tan...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Find an equation for the ellipse whose vertices are at (3, – 7) and (3, – 1), and focus is at (3, - ...

A: Click to see the answer

Q: dt 34. tan t/4 – sin² t dy - Vy dy 35. 36. yV3 + (In y)? x² 1 38. dx 4х + 5 37. :dx /x² + 2x + 5 (Hi...

A: 34) Solve the integration:

Q: If F(x) = f(g(x)), where f(−4) = 5, f '(−4) = 6, f '(−3) = 5, g(−3) = −4, and g'(−3) = 8, find F '(−...

A: Click to see the answer

Q: Use the theorems on derivatives to find the derivative of the following function: ((x3 + 2x2 + 4x + ...

A: Consider the function   

Q: A rectangular frame needs to have an opening of 24 square inches. The boards used to create the fram...

A: As per given data,   Since the frame has a width of 2 inches  and it covers on two sides,   Hence,

Q: Can you please answer these two sub questions and show all of the steps

A: (Note:We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: Can you please answer these two sub questions and show all of the steps and say what letter choice i...

A: Click to see the answer

Q: Consider the following Integral: 11x+19 -dx 22 -70-30 11r+19 To solve this equation you are going to...

A: Click to see the answer

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor 2x3 +...

A: Click to see the answer

Q: 66. Evaluate the integrals In x - dx. dx x? b. dx a. c. d. What pattern do you see? Predict the form...

A: Click to see the answer

Q: Consider the functions f(x) and g(x). for which f(0) =4, g(0)=7, f'(0) = -6 and g'(0) = -1

A: Differentiating h(x) with respect to x, we get

Q: The graph of the equation ?^2+??+?^2=8 is an ellipse lying obliquely in the plane, as illustrated in...

A: a) We differentiate both sides of the given equation with respect to x. For xy use the product rule.

Q: P(t) = 10,000(1+0.86t +t?) %3D A. Find the rate of change of the population P with respect to time. ...

A: Consider the graph:

Q: The problem is to find the right triangle of perimeter 10 whose area is as large as possible. What i...

A: Click to see the answer

Q: According to a study, each additional year of education increases one's income by 18%. Therefore, wi...

A: According to a study, each additional year of education increases one's income by 18%. Therefore, wi...

Q: Find the derivative of f(x) = (10z (1026 + =2 – 1)° f' (z) =

A:   Given function

Q: 2550 In(y) Find the derivative of f (y) Enclose arguments of functions, numerators, and denominators...

A: Given function

Q: Find the area of the region that lies inside both curves. r = 3 + cos(0), r= 3 - cos(0) - 12 2

A: Click to see the answer

Q: find 7 dx dx 35. 36. (x - 1)Vr – 2r – 48 (2x + 1)V4x + 4x² 20³ – 70² + 70 37. OP cos 0 38. 20 – 5 OP...

A: Click to see the answer

Q: evaluate the limit.

A: Click to see the answer

Q: In Exercises 91-94, let F(x) = " f(1) dt for the specified a, u, and f. Use a CAS to perform the fol...

A: Click to see the answer

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 8)3,  P(1, 9),  Q(8, 12)

A: Click to see the answer

Q: find (In x)³ dx 2x In (In x) dx x In x 11. 12. In9 et/2 dx tan x In (cos x) dx 13. 14. In4 eVi cdr -...

A: Click to see the answer

Q: 8. At points on a circle of radius a, line segments are drawn perpendicu- lar to the plane of the ci...

A: Click to see the answer

Q: Higher-Order Derivatives f(x)=2x^4-3x^3+2x^2+x+4   find f^10(x) =

A: We will apply the power rule to find the derivatives.  We find f^1(x) first  

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x)=x^3-12x...

A:  

Q: In x lim x00 xl/2

A: Click to see the answer

Q: Find the dimensions of the box with square base with: (a) Volume 12 and the minimal surface area. (b...

A: Click to see the answer

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the ...

A: (a)

Q: Can you please answer this question and show the steps

A: Consider the given function √x + √y = 3

Q: Can you please solve this problem and show the steps and say the letter as well

A: Click to see the answer

Q: use the theorums on derivatives to find the derivative of the following function: f​(x) = (7"StartR...

A: Click to see the answer

Q: T F If {an} is convergent, then {|an|} is convergent.

A: Click to see the answer

Q: Integration by Parts Evaluate the integrals in Exercises using integration by parts. x sin dx 0 cos ...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-8)" n2 n = 1 Identi...

A: Click to see the answer

Q: b. Differentiate both sides of the equation in part (a) with re- 86. The hyperbolic in hyperbolic fu...

A: (a) We can draw the graph of the sector AOP as shown below. Now,  We observe that the area A(u) of ...

Q: find a point c satisfying the conclusion of the MVT for the given function and interval. Then draw t...

A: Click to see the answer

Q: Describe a way of showing that a continuous function on an open interval (a, b) has a minimum value.

A: Click to see the answer

Q: Does L'Hôpital's Rule apply to lim f(x)g(x) if f(x) and g(x) both approach oo as x → a?

A: L' Hopital's Rule is used in the following cases,

Q: Sketch the graph of y = x2 − 5x + 4.

A: Given equation:

Q: 35. Triangular plate Calculate the fluid force on one side of the plate in Example 6 using the coord...

A: The fluid force is calculated by the formula, where a and b is the limit of the plates between whic...

Q: 52. Use the substitution u = tan x to evaluate the integral dx 1+ sin? x

A: Click to see the answer

Q: Ron Larson - Calculus 11th Edition Chapter 3.9 - Differentials Use differentials to approximate the ...

A: Let f(x) = x3

Q: If х-+5 lim f(x) = 15, find lim ( 2x – x² /f(x)+ 1 х—5

A: Click to see the answer

Q: evaluate the limit.

A: Click to see the answer

Q: For this problem, we want to integrate f (x) = (x − 2)/(x^2 + 4). We will do this in multiple ways.

A: Hey, since there are multiple subparts posted, we will answer first 2 questions. If you want any spe...

Q: Can you please solve this question and show all of the steps and the say the correct letter

A: We differentiate both sides with respect to x and then solve for dy/dx  

Q: 10. Urban gardening A vegetable garden 50 ft wide is to be grown between two buildings, which are 50...

A: Click to see the answer