The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4.  Determine the maximum value of delta > 0 satisfying each statement.

a. If 0<|x-4|<delta, then |f(x)-5|<1

b. If 0<|x-4|<delta, then |f(x)<0.5


Image Transcription

Ay 8- y=f(x) 4- X 0- 0 4 CO

Expert Answer

1 Rating

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Calculus Q&A

Find answers to questions asked by student like you

Q: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

Q: Find the values of the convergent series [from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3 *that E just ...

A: Given information:The given convergent series is  

Q: Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z)  across the s...

A: To calculate the net outward flux of the given vector field across the given surface

Q: Is y=e2x +4x+3 a solution to the differential equation shown below? y′−2y=−8x−2

A: To test if the given function is a solution of the given differential equation

Q: y′=−2ex −9x2 +x+4 y(0)=6 Solve the initial value problem above. Do not include "y=" in your answer.

A: Solve the Initial Value Problem(IVP) for first degree differential equation is given.

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x. 

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: f(x) = 12 − 2x   if x &lt; 2 and x2 − x   if x ≥ 2We have to find lim x→2 f(x)

Q: 11

A: Obtain the magnitude value of u as follows.

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2  and g(y)=1/y-2.