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Question
Evaluate the following limits, if necessary use l’Hôpital Rule:
`lim_(x - oo) (2x^2 - 3)/(x^2 -5x + 3)`
Solution
`lim_(x - oo) (2x^2 - 3)/(x^2 -5x + 3)` .......`[oo/oo "Indeterminate form"]`
Applying L' Hôpital's rule,
= `lim_(x -> oo) (4x)/(2x - 5)` ........`[oo/oo "Indeterminate form"]`
= `lim_(x -> oo) 4/2` ........[Applying L' Hôpital's rule]
= 2
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