💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Guess the value of the limit (if it exists) by evaluatingthe function at the given numbers (correct to six decimal places).$\lim _{x \rightarrow 0} \frac{\sin x}{x+\tan x}$$x=\pm 1, \pm 0.5, \pm 0.2, \pm 0.1, \pm 0.05, \pm 0.01$

$\frac{1}{2}$

Calculus 1 / AB

Chapter 1

FUNCTIONS AND LIMITS

Section 3

The Limit of a Function

Functions

Limits

Continuous Functions

Missouri State University

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:51

Guess the value of the lim…

01:30

04:48

0:00

02:30

02:03

00:36

Determine the infinite lim…

03:41

01:21

But we're gonna guess the limit of this function, Mike, looking in all these values and trying to figure out what value there approaching. So I'm going toe. Have to separate columns one for all the positive numbers and one for all the negative numbers. This plus minus sign means we do both the positive and the negative. Over all you're going to do was take each value of X and plug it in where the exes are. So underneath the plus sign, I'll do positive one that here I'll do point by 10.0.2 and so on. It wants it to six decimal places. So if we plug in one, we get point free to 903 Free re plugging 0.5. We get 0.458 to go nine. Then we get 0.493 free free wine, then 0.94498 Brief. Marie. Every guy that's supposed to be a free. Then we get a point for 99 58 free and then 0.4999 eight free. And then let's do the same thing, but with the negative numbers. So points free. Chu 90 free, Free then we get point for by 8209 You stupid. Start noticing that there is a pattern here in this particular function, you can make all of the exes negative, and you'll get the same answer as if they were positive. It makes no difference. So you can just fill in the rest of the table with the same numbers. So what does it look like? These values are approaching. It looks like they're approaching 0.5, which is 1/2 now. Just from this alone. You can't tell. It's 0.5. Exactly. It could be a tiny bit off, but they're not gonna give you ones where you can't guess it to these problems. So this is one app.

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…

Guess the value of the limit (if it exists) by evaluating the function at th…

Guess the value of the limit (if it exists) by evaluatingthe function at…

Determine the infinite limit.$$\lim _{x \rightarrow 2 \pi^{-}} x \cs…