Squeeze theorem question

jtw2e2

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Joined
Sep 3, 2009
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45
Hello,

My professor recently explained the squeeze theorem to us with the example:

4360886098_a84c35bef8_o.jpg


He referred to this example as having an "even power multiplier." I'm assuming he meant that x^2 is the even power multiplier being multiplied against the trig function.

My question is that he said in order to solve limits of trig functions with odd power multipliers, you must split the problem using left and right-hand limits. Could someone please explain to me how to do that? And if you're feeling extra kind, would someone explain why that is necessary? Thanks very much :D

I suppose a good example as any would be x^3 instead of x^2.
 
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