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Evaluate the limit as x aproches to -1 of the graphed function

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2 Answers

If the curve just has a hole in it (the open circle), and the curve approaches the hole from both sides, then the limit is equal to the value that the function would have at that point without the hole.  So, in your case, the limit would = -2.
The reason is that as you get closer and closer to the hole (x→ -1) on the x-axis, the y-value gets closer and closer to -2.  At x=-1, the function has no value, but it approaches and gets arbitrarily close to the value of -2.


am a little confuse 
ok so the hole is (x-->-1) and because the the y values are getting closer to -2 the limit will be -2?
i dont get this
but thank you so much
           What you said indicates that the function that is graphed is not defined at x=-1 i.e. it has no limit there.