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OpenStudy (lena772):
Limits help
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OpenStudy (lena772):
OpenStudy (anonymous):
Find the limit of f as x----->2 from the right
AND
compute the limit of f as x---------->2 from the left
OpenStudy (anonymous):
As x -------> 2 from the right, the limit is 2 (using the bottom function)
OpenStudy (anonymous):
As x------->2 from the left, the limit of f is also 2.
Therefore, since from the left and right x--->2, the limit is 2.
OpenStudy (lena772):
thanks :)
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OpenStudy (anonymous):
Does it make sense?
OpenStudy (anonymous):
welcome.
OpenStudy (lena772):
the first one did, i'm not sure how you did the second. :/
OpenStudy (anonymous):
To find the limit as x approaches 2 from the left, I used the top function (x < 2) because when you approach 2 from the left, x < 2.
OpenStudy (anonymous):
To find the limit as x approaches 2 from the right, I use the bottom function, becuase approaching from the right of 2, then x>2
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OpenStudy (anonymous):
For the limit to exist as x----> 2, it must have identical values from the right and the left.
OpenStudy (lena772):
i think i got it, can you work through another one with me?
OpenStudy (anonymous):
I can try.what is it?
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