is there a method (arithmetic simplification or something) which with i can solve lim that combine ln, e, and trigonometry? for example: and:
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For the first one, simply use L'Hôpital's rule. I attached a Wolfram Alpha solution for the second one in a pdf.
sin(2x) and are never larger than 1 so for large x, the fraction will be very close to which goes to 0 as x goes to infinity.
Originally Posted by orir is there a method (arithmetic simplification or something) which with i can solve lim that combine ln, e, and trigonometry? for example: and: Without using L'Hopital, you can see . Because both are bounded functions, the limit is clearly
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