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

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find $\lim _{x \rightarrow 0^{+}} \frac{x}{\ln (x+1)}$

No Related Courses

Chapter 1

Practice Test 1

No Related Subtopics

01:05

Find the limits $$\lim _{x…

0:00

Determine the infinite lim…

01:36

Find the limits.$$…

02:42

02:05

01:04

Find the indicated limits.…

01:17

01:15

00:59

02:13

So for this problem, we're finding the limit as X approaches zero from the right hand side of X over the natural log of X plus one. And we know that our first step in finding a limit is just going to be plugging in whatever X is approaching. So when you plug this in here, we get zero over the natural log of one which is going to end up being zero over zero. So since this is in indeterminate form, we're going to go ahead and apply Loki Toll troll and that tells us that our limit with the same bounce so it'll still be as experts zero from the right hand side of the derivative of our new writer over the derivative of already nominator is going to be equal to the same thing. So when we take our derivatives, we get the limit as experts zero from the right hand side of the derivative of X, just one over the derivative of the natural log of X plus one is one over X plus one. And so, since we're dividing by a fraction and our denominator, this is just going to become the limit as expert zero with the right hands from the right hand side of X plus one, and from here we can see that we're just going to be able to plug in zero for X and evaluate our limit to be equal to.

View More Answers From This Book

Find Another Textbook

Find the limits $$\lim _{x \rightarrow 0^{+}} x^{-1 / \ln x}$$

Determine the infinite limit.

$ \displaystyle \lim_{x \to 0^+}\left(…

Find the limits.$$\lim _{x \rightarrow 0^{+}} \frac{1-\ln x}{e^{1 / …

Find the limits.$$\lim _{x \rightarrow 0^{+}}(-\ln x)^{x}$$

Find the limits.$$\lim _{x \rightarrow+\infty}(\ln x)^{1 / x}$$<…

Find the indicated limits.$$\lim _{x \rightarrow 0^{+}} x \ln x$$

Find the indicated limits.$$\lim _{x \rightarrow 0^{+}} \frac{\ln x}{\co…

Find the limits.$$\lim _{x \rightarrow+\infty}[\ln x-\ln (1+x)]$…

Find the limits.$$\lim _{x \rightarrow+\infty} \ln \left(\frac{x+1}{…

Find the limits.$$\lim _{x \rightarrow+\infty}\left[x-\ln \left(x^{2…

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.