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Mathematics 9 Online
OpenStudy (maheshmeghwal9):

Under which condition is D.L. Hospital rule in limits is used?

OpenStudy (anonymous):

when the given function attains the form 0/0 or inf/inf.

OpenStudy (lgbasallote):

when your function when the limit is substituted results to \[\frac{0}{0} or \frac{\infty}{\infty}\]

OpenStudy (maheshmeghwal9):

It means function f(x) should be a fraction.yes or no.please tell.

OpenStudy (anonymous):

or 0^1

OpenStudy (lgbasallote):

i think 0^1 is an indeterminate form?

OpenStudy (lgbasallote):

@maheshmeghwal9 i do not get your question...?

OpenStudy (anonymous):

but also stuff like \[0^{0}, 0^{\infty}\]... etc can also be converted to the types mentioned above

OpenStudy (anonymous):

neither do i

OpenStudy (maheshmeghwal9):

my question is that u told me about 0/0 and\[\infty /\infty\] .does this mean f(x) should be a fraction in which if we put x tending to something ,we get 0/0 or else?

OpenStudy (maheshmeghwal9):

for becoming able to apply d.l. hospital rule

OpenStudy (lgbasallote):

uhmm yep it HAS to be 0/0 or \(\infty/\infty\)

OpenStudy (maheshmeghwal9):

if it is \[\infty*0\] then will we apply that rule?

OpenStudy (lgbasallote):

uhmm you can make it \(\LARGE \frac{\infty}{\frac{1}{0}} = \frac{\infty}{\infty}\)

OpenStudy (maheshmeghwal9):

OK! thanx to all, I understood it.

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