Question
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Answer
El límite de la expresión
es infinito.
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The Deep Dive
To solve
, we first need to clarify the limit’s behavior as
approaches a specific value. Let’s say we look at the limit as
for simplicity. Plugging
into the numerator gives us
. The denominator
at
is also
, which creates a
scenario. This indicates that the expression approaches infinity, pointing to a vertical asymptote at
.
For more complex approaches, one could apply L’Hôpital’s Rule if both the numerator and denominator yield
or
, but in our simple example, this isn’t necessary! Just remember when evaluating limits involving quadratics and polynomials, the key is the behavior as
approaches your target value.