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Mathematics 22 Online
OpenStudy (lena772):

Limits help

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 :)

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

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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