Evaluate .
Hint
Plug in numbers, picture it as a fraction, or just make a picture of it.
Answer
The limit as x approaches infinity is infinity.
Is there anything stopping the function from always increasing, or can it just keep going?
Think carefully about the domain of the function.
The limit (and the function itself) Does Not Exist for negative x.
Where is the power of x the greatest?
The limit as x approaches infinity is 0.
Take the square root into account when finding the degree.
The end behavior of cosine is very similar to sine.
The limit Does Not Exist.
Multiply just enough to find the variable with the largest degree and its leading coefficient.
The limit as x approaches infinity is 1.
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