Question: Determine lim _ ( x - > infty ) f ( x ) and lim _ ( x - > -

Determine \lim_(x->\infty )f(x) and \lim_(x->-\infty )f(x) for the following function. Then give the horizontal asymptotes of f (if any).
f(x)=(40x^(5)+x^(2))/(18x^(4)-4x)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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 Mathematics Questions!

Q:

Question 7 Desmos Graphing Calculator Link Evaluate the following limits. (a) \\lim_( x -> \\infty ) \\ \\frac( 9 )( ex -3 ) = ' (b) \\lim_( x -> -\\infty ) \\ \\frac( 9 )( ex -3 ) = [NOTE: If...

Q:

Suppose that lim f x 9 and lim g x 3 Compute the limits that exist X 4 X 4 a lim f x 3g x X 4 b lim f x g x X 4 c lim 4f x g x d lim X 4 f x x 4f x g x a Select the correct choice below and if...

Q:

10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 For the graphf ( x ) f(x) above, find: Find: lim x 6 f ( x ) = limx6-f(x)= lim x 6 + f ( x ) = limx6+f(x)= lim x 6 f ( x ) = limx6f(x)= lim x 5 f ( x ) = limx5-f(x)=...

Q:

Review the graph on the image. Then, follow the instructions also listed on the image. 2. The graph of f is given to right. a. Find each of the following or explain why it does not exist. 1. lim /...

Q:

Show that the function f x x 31 is not differentiable at 3 We have The right hand limit is f x f 3 x 3 lim X 3 f x x 3 and the left hand limit is lim f x f 3 X 3 X 3 Find a formula for f and sketch...

Q:

Sketch the graph of an example of a function f that satisfies all of the following conditions: lim x l 2` f sxd 22, lim x l ` f sxd 0, lim x l 23 f sxd `, lim x l 32 f sxd 2`, lim x l 31 f sxd ...

Q:

1. Consider the graph & answer the following flax ) a ) lim 7-7 -00 +( x ) f ) lim fla ) X-71 - 6) lim x - 0- f (x) 9) lim *- 1+ f (x) c ) lim b ) lim f(x ) d) lim flx ) e) flo)

Q:

The graph below is the functionf ( x ) . f(x). 1 2 3 4 5 -1 -2 -3 -4 -5 1 2 3 4 5 -1 -2 -3 -4 -5 Find the following. lim x 1 f ( x ) = limx1-f(x)= lim x 1 + f ( x ) = limx1+f(x)= lim x 1 f ( x ) =...

Q:

x 6 Give an exact answer Use symbolic notation and fractions where needed lim f x x 6 1 lim x 6 f x lim x f x x 6

Q:

Math210 Calculus 13. Sketch the graph of any function f(x) that has all of the following properties: lim x - 3 , f (x) = 00 lim f (x) = -2 lim f ( x) =4 14. Without using technology, find the...

Q:

A gas company in Massachusetts charges $1.30 for 15 ft3 of natural gas (CH4) measured at 20C and 1.0 atm. Calculate the cost of heating 200 mL of water (enough to make a cup of coffee or tea) from...

Q:

Jamillah deposited RM170,000 into 'Special Investment Account for 9 months period with one of the Islamic bank. During the agad, all the parties are agreed that the predetermined ratio/...

Q:

10 If x=2 then y=8. Which of these functions could be correct? A y=4x C y=6x-4 E y=9x-10 B y=2x+4 D y=12-2x

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...