Question

discontinuities

Answer 1

@zepdrix

Answer 2

your teacher loves you...

Answer 3

hahaha

Answer 4

let me know if you need any help

Answer 5

i just don't know where to start..

Answer 6

well from anything less than or equal to 1 it will always be 2/3

Answer 7

the first 2 functions either line up (have the same y value) as x -> 1 or they don't.

you have to evaluate if they do or don't.

Answer 8

well for the 2nd function, at 1, it doesn't exist...

Answer 9

so there is a dis-continuity

Answer 10

right, but see if you can factor out the bad part. you have a difference of cubes which factors easily.
one of the factors is (x-1) the other is x^2+x+1
see if the top has a factor of (x-1). if it does, you can cancel (remember, you're only interested in the limit of that function as it approaches 1 from the right (above)).

Answer 11

not necessarily a discontinuity... you have to check. follow what I said and see what comes out.

Answer 12

alright. let me work on that

Answer 13

ok

Answer 14

hint, x-1 is a factor of the numertor too

Answer 15

yep