Question

http://tinypic.com/r/34o7k3c/8

find lim x->3+

Answer 1

@wmj259

Answer 2

Possible answers:
7
1.5
Does not exist
2

Answer 3

Okay so your looking at the limit at the point 3 from BIG NUMBERS (Or FROM THE RIGHT SIDE). Yes?

Answer 4

Yes, if its 3+ then it's coming from the right side.

Answer 5

the limit of a function means that without doing any calculations what the does the line seem to approach from left/right
The f(x)= means that when you plug in 3 into the unknown function you'll get a point, which is the one at (3,7).

Answer 6

So the answer is 7? But it's going parallel with the x axis?

Answer 7

No its not 7.

Answer 8

If you looked at that line coming from the right, and you followed it to 3. what do y-axis do you think it would approach?

Answer 9

It would approach y = 2

Answer 10

Thats it.

Answer 11

NOW if they asked you what the f(x) at 3 would be, what would be your answer?

Answer 12

what would it be at 3-?

Answer 13

Is that what you're asking? 3- would be going towards 1.5

Answer 14

Okay let me start again

Answer 15

http://www.mathsisfun.com/calculus/limits-formal.html

Answer 16

Scroll down to the part where theres a graph

Answer 17

Okay I'm there

Answer 18

So f(3)=7. Right?
BUT we are not looking at that, we are looking at from visually guessing. "What does the line seem to be approaching".

Answer 19

As 3- is approaching 3, the limit is 1.5?

Answer 20

Yes.

Answer 21

But your looking for 3+. Which would be ____?

Answer 22

As 3+ is approaching 3, the limit is 2?

Answer 23

Yes.

Answer 24

Is this a homework question? Can you tell me if you get your answer back immediately?

Answer 25

Thank you for explaining it! It's homework, so not immediately.

Answer 26

Okay, just wanted to know if I was right.

Answer 27

Hope I helped you.

Answer 28

@wmj259 It was right!

Answer 29

Thanks, I'm in Calc3 now, And I had a great Calc1 professor. Gotta help out the world ;).