WEBVTT
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first recall that the candidate function has a graph that
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looks like this. Oh, okay. The important
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part here is this segment here between minus pi over
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two and pie over to so notice that as we
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go up to infinity over here that the X value
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gets close to pie over too. Remember our can
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Our ten is the inverse of Qianjin between minus power
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two and power to Okay, So for the inverse
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functions the X and A Y coordinates air switched So
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here we go up to infinity X goes to poverty
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to so for our ten if we're looking at Ark
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Tan of infinity in the output would be pi over
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too can The important thing here is that this is
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just some finite number So when we're taking the limit
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as in goes to infinity of a end, that's
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limit as in goes to infinity of Ark tan we
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just use the same notation So this is just another
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notation for our tent art can of n divided by
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n We knew the trick where we dio limit on
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top over limit on bottom So we're allowed to do
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that as long as we don't get infinity over infinity
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or something divided by zero. So here, women
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on top, as we mentioned, that's going to
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be poverty Tuesday. Just some finite number limit on
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the bottom is going to be infinity. So this
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is some finite number divided by infinity, and that
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limit is zero. So we do converge. We
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converged to zero.