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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- Jun 13th 2013, 06:28 AMorirlim of function combining ln and trigonometry
is there a method (arithmetic simplification or something) which with i can solve lim that combine ln, e, and trigonometry? for example: and:

- Jun 13th 2013, 07:00 AMReneGRe: lim of function combining ln and trigonometry
For the first one, simply use L'Hôpital's rule.

I attached a Wolfram Alpha solution for the second one in a pdf. - Jun 13th 2013, 07:43 AMHallsofIvyRe: lim of function combining ln and trigonometry
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.

- Jun 13th 2013, 07:43 AMPlatoRe: lim of function combining ln and trigonometry