Question: Find lim x h(x), if it exists. f(x) = 4x 2 + 2x 5 (a) h(x) = f(x)/x (b) h(x) = f(x)/x 2 (c)

Find lim x→∞ h(x), if it exists.

f(x) = −4x2 + 2x − 5

(a) h(x) = f(x)/x

(b) h(x) = f(x)/x2

(c) h(x) = f(x)/x3

Step by Step Solution

★★★★★

3.33 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find the limit of hx as x approaches infinity we need to divide the l... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Find all vertical and horizontal asymptotes of the graph of the function. 1. f (x) = 6x2 / x + 3 2. f (x) = 2x2 + 5x -3 / x2 + 2 3. g (x) = x2 / x2 - 4 4. g (x) = x + 1 / x2 - 1 5. h (x) = 5x + 20 /...

Q:

Find approximations to within 105 to all the zeros of each of the following polynomials by first finding the real zeros using Newton's method and then reducing to polynomials of lower degree to...

Q:

Find the sum of each of the following series by recognizing how it is related to something familiar? (a) x - x2 + x3 - x4 + x5 - ... (b) 1 / 2! + x / 3! + x2 / 4! + x3 / 5! + ... (c) 2x + 4x2 / 2 +...

Q:

Find lim h x if it exists X18 f x 4x 4x a b lim h x X48 2x 1 h x c h x lim h x X48 h x lim h x 848 Need Help f x X f x 2 X f x x3

Q:

1. Find the general antiderivative: J x3 + 3x - x241 - dx 2. Find the general antiderivative: S(x - 4)3 dx 3. f'(x) = 3x2-4x, and f (3) =6. Find f (x). 4. f" (xx ) = 4x+ 2, f'(1) =5, and f(0) = 4....

Q:

f x g x 5x 11x 17x 3 x 10x 3 O 5x 10x 15x 3 x 10x 3 Question 12 O Given g x 5x 10x 15 and h x 5 find g x h x O x 2x 10 x 2x 3 2x 3

Q:

Hey loves! i am about to fail i am so desperate im begging for your help! For any questions involving GRAPHS please include the x and y values so that i can plot the points. stay safe:) thank you for...

Q:

03 DIFFERENTIATION HOMEWORK 14 Date: Definition of Derivative I A. Use the definition of derivative to find f'(x) for the following functions. Example 1. f(x) = 3x2 + x f ( x ) = 2 1 - X f'(x) = lim...

Q:

Next question Find the derivative of y with respect to x. y = In(10x) + 9x dy dxNext question Use logarithmic differentiation to find the derivative of y with respect to t. V11t y = t . . . dy its dt...

Q:

1. [-/3 Points] DETAILS LARCALC12 3.5.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim 7 - 4x3/2 x -+ 9x2 - 5 7 - 4x3/2...

Q:

Taxi drivers have a lot of flexibility in choosing their work hours, and we can readily observe their response to an increase in the wage. An increase in the taxi fare, which is regulated by cities,...

Q:

Neebom Corporation, a manufacturer of toys, has asked for your advice on dividend policy. Neebom had a net income of $150 million in 2015 and reported depreciation of $20 million. Its balance sheets...

Q:

A bank will calculate the stated rate of a simple discount note on the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ of the note.

Q:

=+ Investment: How do the results relate to shareholders and the funds they have provided, and to the companys share price?

Q:

In Exercises, use the Fundamental Theorem of Calculus to evaluate the definite integral. *8 So 10 (3 + x) dx

Q:

In Exercises, use the Fundamental Theorem of Calculus to evaluate the definite integral. S x3 + x) dx

Q:

In Exercises, use the Fundamental Theorem of Calculus to evaluate the definite integral. fe- (t-1)dt

Q:

Colliers Company has determined that the variable overhead rate is $2.90 per direct labor hour in the Fabrication Department. The normal production capacity for the Fabrication Department is 14,000...

Q:

Whenever a good trades in a competitive market, the _______ determines the value of the good. Question content area bottom Part 1 A. demand B. supply C. cost D. price E. quantity

Q:

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a...