## sarah43 3 years ago The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist. I will post graph

1. sarah43

a. lim x-->(1+) f(x) b. f(1)

2. sarah43

@satellite73

3. IsTim

Where do you think the limit exists at?

4. IsTim

From there, we can understand exactly what you need assistance in.

5. sarah43

I am not sure how to approach this problem.. A. a. lim x-->(1+) f(x) = 1 b. f(1) = 0 B. a. lim x-->(1+) f(x) does not exist b. f(1) = 2 C. a. lim x-->(1+) f(x) = 2 b. f(1) = 2 D. a. lim x-->(1+) f(x) = 2 b. f(1) = 1

6. satellite73

$\lim_{x\to 1^+}$ means you are headed to $$1$$ on the $$x$$ axis from the right, i.e. from numbers larger than 1|dw:1345691766209:dw|

7. sarah43

wait i think i got it! is it B??

8. satellite73

imagine you are going along the graph travelling from right to left, headed to where $$x=1$$ what $$y$$ value are you approaching?

9. satellite73

actually the right and limit DOES exist the two sided limit $$\lim_{x\to 1}f(x)$$ does not exist

10. sarah43

sorry i meant C since the y value you are approaching is 2

11. satellite73

yeah, C is always a safe bet it is also correct in this case

12. sarah43

ok thnxx

13. satellite73

yw