Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

If $ f" $ is continuous, show that$$ \displaystyle \lim_{h\to 0} \frac{f(x + h) - 2f(x) + f(x - h)}{h^2} = f"(x) $$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$\lim _{x \rightarrow 0}\left(2 \cos 2 x+3 a x^{2}+b\right)=0 \Rightarrow$$2 \cos (2 \cdot 0)+3 a \cdot 0^{2}+b=0 \Rightarrow 2+b=0 \Rightarrow b=-2$

01:55

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 4

Indeterminate Forms and l'Hospital's Rule

Derivatives

Differentiation

Volume

Campbell University

University of Nottingham

Idaho State University

Boston College

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

01:50

If $f^{\prime \prime}$ is …

04:58

Let $f^{\prime \prime}(x)$…

01:13

Show that $f(x)$ is contin…

01:14

Show that the existence of…

we know that we can rewrite this limit as H A purchase. Zero. That's a crime. Expose Age miss off prime X minus age times Negative one, which is of prime of acts, cause extra zeros. Just acts plus f from of acts because X minus zero is also just acts divide by two, which gives us off prime of acts because two F products over two is just one F part of X. Okay, now we know that we can differentiate with respect to H instead of acts we have B is negative, too.

View More Answers From This Book

Find Another Textbook

00:49

A man purchased a certain number of a orange at the rate of 2 for ₹5 and so…

01:10

A card is drawn from a well shuffled deck of 52 playing cards. Find the prob…

01:19

If x+1/x = 5 find the value of following x2 + 1/x2

01:40

find the square root of 3249 in the division method

01:43

The sales revenue of company P was morethan that of company Q. P's …

02:46

150 college freshmen were interviewed, 85 were registered for Math class, 70…

01:42

Rakesh's age is 10% that of Mohan's age and 20% that of Shyam'…

00:40

Are the number of even and odd numbers between 1211 and 1220 the same?

00:50

Last week, Jason ran 26.1 miles. He wants to run further this week. He plans…