a)
b) Explain why the limit as x approaches 3 from the right cannot be determined.
c) What can you conclude about
For a I first tried to sub in 3 for x but that gives me the square root of 0 which is 0.. so is this indeterminite form?.. and i did it wrong?
For your purposes, it is probably most effective to just graph the functionand notice what happens as you approach the point x=3 from the left and right sides.
By the way,is perfectly valid. It's not an indeterminate form. However, it *is* a borderline case. i.e., if you went any smaller than 0, then a problem arises. This is definitely related to the problem.
For part a)Originally Posted by kmjt
a)
b) Explain why the limit as x approaches 3 from the right cannot be determined.
c) What can you conclude about
For a I first tried to sub in 3 for x but that gives me the square root of 0 which is 0.. so is this indeterminite form?.. and i did it wrong?
You are asked to determine
.
As said in a previous post, you should probably just graph the function and see what happens asfrom the left...
For part b)
Note that this function is only defined for
.
How can you makeapproach
from the right if the function is not defined for any values of
c) Limits only exist when the left hand limit and right hand limit are equal.
Since there is a left hand limit but NOT a right hand limit, what does that tell you about the limit of this function?
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