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Question 1121248: https://ibb.co/e4fnwU
Please help
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) (Show Source):
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In a g(x) is x by definition and f(x) is 1 by definition. It is x as x approaches 0, so the limit is 0.
In b both f(x) and g(x) are x for all x approaching 2. Only at 2 does the value of g(x) change to 3. This limit is x/x or 1.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The limit of a quotient is the quotient of the limits provided the limit in the denominator is not zero.

Since , and :

Hint for part b): is discontinuous at , but even though ,

John

My calculator said it, I believe it, that settles it