We've given you the limit of f(x) and g(x), not the functions themselves.
Answer
The limit is -12.
Example 2
Use the following information to evaluate .
Hint
Power up, then Add 'em up.
Answer
The limit is 7.
Example 3
Use the following information to evaluate .
Hint
This problem has it all: multiplication, powers, division, a constant, even a bit of cancellation at the beginning.
Answer
The limit is .
Example 4
Evaluate using the properties of limits.
Hint
Evaluate. Each. Term. Separately. Please.
Answer
The limit is 3.
Example 5
Evaluate using the properties of limits.
Hint
The limit of 2 times (a blob) is (the limit of the blob) times 2, obviously.
Answer
The limit is 1.
Example 6
Evaluate using the properties of limits.
Hint
Bring out the exponent, then go to town on the limit.
Answer
The limit is ⅛.
Example 7
Evaluate using the properties of limits.
Hint
Sums and division are the name of the game here.
Answer
The limit is -3.
Example 8
Use the following information to evaluate .
Hint
This problem is different from before—we've given you the functions, not their limits. So, plug the functions in, simplify a little with the limit properties, and finish it off with direct substitution.
Answer
The limit is .
Example 9
Use the following information to evaluate .
Hint
Use you properties of limits and direct substitution once again.
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using the properties of limits.
using the properties of limits.
using the properties of limits.
using the properties of limits.
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