Find Limit of Piecewise Function...1

[nycmathguy]

Calculus
Section 1.5

How do we find the limit of piecewise functions?
Can you do 11 as a guide for me to do 12?

 

[MathLover1]

11.

f(x)=

Evaluate the one-sided limits and you will see there is no interesting limit points found.


here are examples how to do it:
https://www.mathwarehouse.com/calculus/limits/limits-with-piecewise-functions.php

 

[nycmathguy]

11.

f(x)=View attachment 2451

Evaluate the one-sided limits and you will see there is no interesting limit points found.


here are examples how to do it:
https://www.mathwarehouse.com/calculus/limits/limits-with-piecewise-functions.php

You said:

"Evaluate the one-sided limits and you will see there is no interesting limit points found."

1. Evaluate the one-sided limits using what value of x?

2. Is there a way to find limits of piecewise functions algebraically?

3. Do you recommend graphing the piecewise function to find the limit as x tends to a certain number?

 

[MathLover1]

1. Evaluate the one-sided limits using what value of x?

it is given:
x<-1
-1<=x<1
x>=1
so evaluate x->-1 and x->1 from left and right

to find a limit of the piecewise function is little bit more complicated, I recommend you to do normal functions first

 

[nycmathguy]

1. Evaluate the one-sided limits using what value of x?

it is given:
x<-1
-1<=x<1
x>=1
so evaluate x->-1 and x->1 from left and right

to find a limit of the piecewise function is little bit more complicated, I recommend you to do normal functions first

Ok. I will skip limits of piecewise functions for now. I need to get more familiarized with limit of functions.