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Homework answers / question archive / The undetermination case is [infinity x 0], so we need to change it into one that we can use the L'Hospital rule with

The undetermination case is [infinity x 0], so we need to change it into one that we can use the L'Hospital rule with

Philosophy

The undetermination case is [infinity x 0], so we need to change it into one that we can use the L'Hospital rule with. This is the reason why we move ##x## at the denominator, as ##1/x##. This is the form that we can use the L'Hospital rule with. Be aware of the chain rule when differentiating ##sin (pi/x)##.

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