Help me to verify the piecewise function answers

[macjack]

I am trying to solve the exercise in this link, please let me know if i am doing something wrong. ( i didn't find answers to this exercise that's why i am sending it here)

http://www.libraryofmath.com/limits-with-piecewise-functions.html


exercise 1
----------
a) lim x->3- f(x) = 7
b) lim x->3+ f(x) = 7
c) lim x->3 f(x) = 7 because both one-sided limits are same.

exercise 2
----------
a) lim x->0- f(x) = 2
b) lim x->0+ f(x) = 1
c) lim x->0 f(x) = no limit (because one-sided limits are not same)
d) lim x->2- f(x) = 1
e) lim x->2+ f(x) = 3
f) lim x->2 f(x) = no limit (because one-sided limits are not same)

exercise 3
----------
a) lim x->-1- f(x) = 1
b) lim x->-1+ f(x) = 1
c) lim x->-1 f(x) = 1
d) lim x->0- f(x) = 0
e) lim x->0+ f(x) = 0
f) lim x->0 f(x) = 0
g) lim x->1- f(x) = 1
h) lim x->1+ f(x) = 1
i) lim x->1 f(x) = 1

Thanks for your time.

 

[VietDao29]

I am trying to solve the exercise in this link, please let me know if i am doing something wrong. ( i didn't find answers to this exercise that's why i am sending it here)

http://www.libraryofmath.com/limits-with-piecewise-functions.html


exercise 1
----------
a) lim x->3- f(x) = 7
b) lim x->3+ f(x) = 7
c) lim x->3 f(x) = 7 because both one-sided limits are same.

exercise 2
----------
a) lim x->0- f(x) = 2
b) lim x->0+ f(x) = 1
c) lim x->0 f(x) = no limit (because one-sided limits are not same)
d) lim x->2- f(x) = 1
e) lim x->2+ f(x) = 3
f) lim x->2 f(x) = no limit (because one-sided limits are not same)

exercise 3
----------
a) lim x->-1- f(x) = 1
b) lim x->-1+ f(x) = 1
c) lim x->-1 f(x) = 1
d) lim x->0- f(x) = 0
e) lim x->0+ f(x) = 0
f) lim x->0 f(x) = 0
g) lim x->1- f(x) = 1
h) lim x->1+ f(x) = 1
i) lim x->1 f(x) = 1

Thanks for your time.

Yes, looks good to me. Congratulations.

Btw, you haven't done the last 2 problems. :)