For the function f whose graph is shown (I uploaded the graph), state the value of the limit. If the limit does not exist, write DNE.

(My answers are below)


a. $\lim_{x\to -3} f(x) = 4$

b. $\lim_{x\to 5-} f(x) =$ DNE

c. $\lim_{x \to 0+} f(x) = -1$

d. $\lim_{x\to1} f(x) = 0$ (not sure about this one)

Do you think my answers are correct?

  • $\begingroup$ Ahh never mind, I think it's correct because it approach 0 from both sides. $\endgroup$ – Holiday Sep 8 '14 at 4:37
  • $\begingroup$ @DavidH I don't see a reason to be unsure. Holiday: yes, all answers are correct. Note that I reformatted the formulas: see math notation guide. $\endgroup$ – user147263 Sep 8 '14 at 4:37
  • $\begingroup$ So all my answers are correct? $\endgroup$ – Holiday Sep 8 '14 at 4:38
  • $\begingroup$ @Thursday My mistake. I misread the question as asking for the limit as $x\to 0$. I blame the lack of Tex pre-edit :) $\endgroup$ – David H Sep 8 '14 at 4:40

All answers are correct, assuming that the vertical axis has the same scale as horizontal, i.e., the grid lines are $1$ unit apart. It would be better if whoever made the graph placed some numbers on the vertical axis too.


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