Prove that f(x)=1/x is continous for x>0.

Primary tabs

Lesson Parent: 
Function Limits VI: Continuous Functions
Problem: 

Prove that f(x)=1/x is continous for x>0.

Answer: 

It is true that f(x)=1/x is continous for x>0.

SAMPLE SOLUTION

All of our problems have fully worked out, logical solutions. We connect every solution to its underlying lesson so you can understand the concepts needed to solve any problem and reinforce your learning by practicing with similar problems. All of the formulas are available to our subscribers, but here is a sample of the problem solution you will see when you log in:



Solution: 

For 1/x to be continuous for all <Sign in to see all the formulas> we must show that

<Sign in to see all the formulas>


for all a in <Sign in to see all the formulas>.

We have already done this here.