Problem

Show that $ \displaystyle \lim_{n \to x} (1 + \fr…

03:24

Problem 55 Medium Difficulty

Use the definition of derivative to prove that

$ \displaystyle \lim_{x \to 0} \frac {\ln (1 + x)}{x} = 1 $

Answer

$f^{\prime}(0)=1$

More Answers

01:18

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Discussion

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Video Transcript

he's trouble. We rest used definition of spirited Program Limited's except watch your nature longer. One plus X divided by accident or less shirt. What's Remember deformation? Oh, there will be no limit is exposed to zero Equifax writing staff of zero You like my ex one syrup would be f from X b o From Ms Devane terms. If you could define a function of a Pakistan, we would be able to find charity off a function. But say that every pegs is they go to natural law on us. Thanks. And one set of because limit as except for zero mention logo minus. Now we're in Cassidy fo zero. If this is a zero would be natural for zero. There we are natural longer Po po zero divided by X minus. There would then be equal to a crime off X where prime affects is just one or were born plus X here we know that natural love one is a zero and this is what we're intransigent. All we need to do you still have laid a form of backs on ecstasy zero that is on over one month ago. There is one more that is equal for and that is what has given into problems

Doruk I.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor