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Evaluate following limits.
Solution
In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & denominator, simplify and take the limit. Though, that's going to be more work than just utilizing L'Hospital's Rule.
L'Hospital's Rule works greatly on the two indeterminate forms 0/0 and ± ∞ /± ∞ . Though, there are several more indeterminate forms out there as we illustrated earlier. Let's see some of those and see how we can deal with those types of indeterminate forms.
We'll begin with the indeterminate form (0) ( ± ∞ ) .
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
Horizontal asymptotes : Such as we can have vertical asymptotes defined in terms of limits we can also have horizontal asymptotes explained in terms of limits. Definition
Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity
x+8/2=5x/6
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