Answer: Does the graph of have a tangent at the origin?

Chapter 3, Problem 36E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Does the graph of

\(g(x)=\left\{\begin{array}{ll} x \sin (1 / x), & x \neq 0 \\ 0, & x=0 \end{array}\right.\)

have a tangent at the origin? Give reasons for your answer.

Equation Transcription:

Text Transcription:

g(x) = {_0,  x=0 ^x sin (1/x),  x neq 0

Questions & Answers

QUESTION:

Does the graph of

\(g(x)=\left\{\begin{array}{ll} x \sin (1 / x), & x \neq 0 \\ 0, & x=0 \end{array}\right.\)

have a tangent at the origin? Give reasons for your answer.

Equation Transcription:

Text Transcription:

g(x) = {_0,  x=0 ^x sin (1/x),  x neq 0

ANSWER:

Solution:

Step 1 of 2:

In this problem, we have to check whether the given function have a tangent at origin?

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back