Estimate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or infinite).
Recall the Quotient Law for evaluating limits given that and exist. If , then exists and .
For the given rational function , evaluate the limit of the numerator and denominator as x approaches $a.
The Quotient Law h6Q4QU2SWfOKIbur4GLV8BRt1Yk= apply. We say that is 5rEcHixAdeJONJPG1u7+MGlhGwvO3Ffr8ZOTskzRg00iFfNADxYU/lSGWsucE+q4 at x = $a.
Since the rational function has an indeterminate form of the type at x = $a, we can find an equivalent expression for the function by factoring its numerator and denominator and cancelling like factors, however, that we keep the domain of the original rational function.
where z = nc1ItEz0kR4=.
where w = nc1ItEz0kR4=, x ≠ $a.
Since the limit is being evaluated as x approaches $a (meaning for all values of x near $a, but not equal to $a), we can try to evaluate by applying the Quotient Law for evaluating limits.
Evaluate the limit of the numerator and denominator as x approaches $a.
Thus, the Quotient Law PXcxRRPwVznkzmRiLdM8PZPj3qw= apply to and the limit G3WoGiusd49jA3XEAg63iCp80mVMXfEpMr/LxQ==.
(Round your answer to two decimal places.)