Question
Asked Mar 10, 2019
51 views

given f(x)= 3cx+2, for x< 2

                   -cx-8, for x>2     

find c so that f(x) is continuos on the entire real number line

check_circle

Expert Answer

Step 1

We have to find value of c so function is continous at x=2 ,where f(x) is given by:

fullscreen
Step 2

For function to be continous to be at x=a ,following condition should hold:

fullscreen
Step 3

Now check left hand and right hand limit at x=2.

now by equating left hand limit and ...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Limits