Original
Can this limit be directly computed by limit laws?
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{{CMD_359}}yes{{CMD_360}}
{{CMD_361}}no{{CMD_362}}
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If we are trying to use limit laws to compute this limit, we would have to use the Product Law to say that
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We are only allowed to use this law if both limits exist. Let's
check each limit separately.
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So this limit exists. Now we check the other factor.
Notice that
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If we are trying to use limit laws to compute this limit, we would now have to use the Quotient Law to say that
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We are only allowed to use this law if both limits exist and the
denominator does not equal {{MATH_369}}. The limit in the numerator definitely
exists, so let's check the limit in the denominator.
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Since the denominator is {{MATH_371}}, we cannot apply the Quotient Law.
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