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New Zealand
New Zealand

High school chevron_right Malaysia

Can anyone help and explain to me for this......??

Date Posted: 5 years ago
Views: 365
Eric Nicholas K
Eric Nicholas K
5 years ago
Direct inputting works for positive infinity since inf x inf = inf

The same does not work for negative infinity since inf x 0 is undefined.

The trick here is to express the function as a fraction of two terms such that inf x 0 becomes "inf / inf" or "0 / 0" since the inverse of 0 is technically inf and vice versa.

Now that we get either form, we can then use the L Hospital rule until we no longer get either form.

Sadly, only one of the fraction forms work because the L Hospital application would end at some point, whereas in the other form, there will never be an end.

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Eric Nicholas K
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