Original
If {{MATH_35}} is continuous on {{MATH_36}} and if {{MATH_37}} and {{MATH_38}}, then {{MATH_39}}.
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{{CMD_41}}True{{CMD_42}}
{{CMD_43}}False{{CMD_44}}
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Since {{MATH_47}} is continuous at 0 we know that {{MATH_48}} so we can use the quotient limit law to evaluate {{MATH_49}}.
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Let {{MATH_52}} be a positive function with vertical asymptote {{MATH_53}}, then {{MATH_54}}.
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{{CMD_56}}True{{CMD_57}}
{{CMD_58}}False{{CMD_59}}
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It could be that {{MATH_62}} so that {{MATH_63}} has a vertical asymptote at 5, but {{MATH_64}}. In this case {{MATH_65}} does not exist.
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