Given that limx→af(x)=0,limx→ag(x)=0,limx→ah(x)=1,limx→ap(x)=∞,limx→aq(x)=∞ which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. limx→apxq(x).

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2abehn · Accepted Answer

limx→ap(x)=∞   limx→aq(x)=∞  ∞∞ is an indeterminate form.  limx→ah(x)p(x)  It can be anything, depending on what the actual functions are, and without knowing it is not possible to determine what the limit is since we would need something that can be manipulated into a form that is not indeterminate.  Results:  Indeterminate form ∞∞.

Given that \lim_{x\rightarrow a}f(x)=0, \lim_{x\rightarrow a}g(x)=0, \lim_{x\

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