Right/left hand limit as x approaches to 0

  • Thread starter chemic_23
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  • #1
chemic_23
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Homework Statement


lmt.jpg



Homework Equations



I trying to figure out if how will you know if which of the following h(x) will be the right/left hand limit as x approaches to 0, as x approaches to 1, as x approaches to 2? I'm confused... please help

The Attempt at a Solution


I really don't have any idea
 

Answers and Replies

  • #2
HallsofIvy
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To the left of 0, f(x) is identical to x. Do you know how to do [itex]lim_{x\rightarrow 0} x[/itex]? If so, that is exactly [itex]lim_{x\rightarrow 0^-} f(x)[/itex].

Just to the right of 0, f(x) is identical to x2 and so the "limit from the right", [itex]\lim_{x\rightarrow 0^+} f(x)[/itex] is the same as [itex]\lim_{x\rightarrow 0} x^2[/itex].
 

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