Use analytical methods to evaluate the following problem.

the answer to the limit is

I have been taking a stab at it for quite a while. I think I figured it out but I a want to make sure the methods to how I got the answer were proper.

First thing, Apply L' Hoptial's rule to make the -2 and the + disappear

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I make powers have the same denominator

I get rid of the exponent denominator by applying an exponent of the power 5 to the limit. I also make it positive for simplicity.

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I observe the limit which will equal 1 and multiply by -6/5

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