Question

Help please! Picture will be attatched!

Answer 1

Okay well lets start by looking at what the question is asking....what is the limit...as x approaches 0....well...which of those 2 functions are used when x = 0?

Notice how the first equation...is used when x is LESS than 0
The second equation is used when x is Greater than OR EQUAL TO 0.

so since we want the limit as x approaches 0...we would use the second equation.

So...we would plug in 0...into that equation...what does |2-0| equal?

Answer 2

2?

Answer 3

Correct...that would be your answer!

Answer 4

But wouldn't it be no limit or something because it's 2 and -9?

Answer 5

or no?

Answer 6

@johnweldon1993

Answer 7

Hmm excellent question....I'm going to say There IS a limit because one function DOES include a value when x = 0...and that would be the second equation....let me get a second opinion here though to make sure

Answer 8

@jim_thompson5910 mind checking this?

Answer 9

ok :)

Answer 10

@mathstudent55 mind checking this?

Answer 11

I wish there would be an answer back...but I think that just because of the fact that the second equation says it includes the value 0, means you only focus on that line and go to 0, So I'm going to say the limit would be 2....I really hope I'm remembering that correctly :)

Answer 12

Thank you!

Answer 13

of course! and i'll look around to make sure...and post back here what I find :)

Answer 14

Okay! I'll stay on!

Answer 15

because the left and right hand limits are NOT the same value, this means that the limit does NOT exist

Answer 16

oh wait...jim's replying :)

Answer 17

Ahh, thank you jim

Answer 18

you're welcome

Answer 19

Cool thank guys!