Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

Evaluate the function at $0.1,0.01,$ and $0.001$ from both sides of the value it approaches. In Exercises $53$ and $54,$ evaluate the function for values of $x$ of $10,100,$ and $1000$ From these values, determine the limit. Then, by using an appropriate change of form, evaluate the limit algebraically and compare values.$$\lim _{x \rightarrow \infty} \frac{x^{2}+5}{\sqrt{64 x^{4}+1}}$$

Calculus 1 / AB

Chapter 23

The Derivative

Section 1

Limits

Derivatives

Campbell University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

02:40

Complete the table of valu…

03:24

Find the limit by adapting…

06:21

In Exercises $17-54$ , eva…

01:50

04:58

Evaluate limit and justify…

01:18

Determine each limit, if i…

0:00

Estimating a Limit Numeric…

01:00

02:32

01:53

suppose we have this function X times natural log of X and we want to find the limit as excess approaching zero from the right of this function. So we're only going to be dealing with values to the right of zero. In other words, we're only going to be dealing with Excel use that are greater than zero. So we will be using values that really, really close to zero for this. So if you were to calculate these values, you would find that when x is equal 2.1 f of X equal to negative 0.230 to six when X equals 0.1 F of x is equal to negative zero point zero for 605 When I says equal to 0.1 Why is equal to negative? Is hero point 00 69 one? You can already kind of see a trend as we're continuing this so we can kind of hypothesize a little bit of water limit is going to be, but let's keep on going. Our next values are negative zero point 0009 to 1 in our final values, negative 0.115 And we're actually going to use just that value, and we're going to be rounding this up to two now. If we look at where zero is, which will be down here. If we see this trend, we see that it's that our values air increasing from a neighbor from a really small negative to an even smaller negative. So they're increasing but still negative, right? And if we see that our values are getting more zeros in them, if we get a number, say, like point zeros 0000001 or like so on and so forth, we get approximately something like 0.1 or something like that, right? It will be a very a very small number, and we can use this to kind of approximate that. When that are limit as X approaches, zero from the right will be well, zero

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Complete the table of values (to five decimal places), and use the table to …

Find the limit by adapting the hint for Exercise 39$$\lim _{x \rightarro…

In Exercises $17-54$ , evaluate the limit. $$\lim _{x \rightarrow \infty}\le…

In Exercises $17-54$ , evaluate the limit. $$\lim _{x \rightarrow \infty} x^…

Evaluate limit and justify your answer.$$\lim _{x \rightarrow 0}\left(\f…

Determine each limit, if it exists.$$\lim _{x \rightarrow 3} 5^{\sqrt{x+…

Estimating a Limit Numerically In Exercises $5-10$ , complete the table and …

In Exercises $17-54$ , evaluate the limit. $$\lim _{x \rightarrow 1}(1+\ln x…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.