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How do I go about solving this? Do I make it into one big fraction or can I simplify the radical somehow?

How do I go about solving this Do I make it into one big fraction or can I simplify the radical somehow class=

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wizard123
Not sure how to find this limit algebraically.

However, you can evaluate it analytically.
Notice the domain is restricted to:
[tex]x^2 \ \textgreater \ 4[/tex]
This means the right sided limit cannot exist.
You can only evaluate the left side limit.

As x-> -2 from the left. The first term goes to positive infinity and 2nd term goes to negative infinity.

[tex]\infty - (-\infty) = \infty[/tex]

Therefore the limit is positive infinity.

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