Powers and Roots of Limits Examples

What is  if ?

It's all about the algebra, baby.

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It's important to notice that because of the square, there are two different possible values for
the limit.

What is  if ?

Using the rules for limits of sums, limits of powers, and limits of x (we're throwing a lot of rules in here, aren't we?)

 Now we raise each side to the 4^th power to find 

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What's  if ?

We can solve this one using our rules for products, powers, and roots: 

 Simplifying, 

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