Find the trigonometric limit: lim (as x approaches infinity) (x-tan 2x)/sin 2x
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We have . Now consider the subsequences and to see that there is no limit.
Last edited by rgep; December 30th 2005 at 11:15 PM. Reason: Oops - misread original post
Originally Posted by rgep We have . Now consider the subsequences and to see that there is no limit. Surly; it is sufficient to consider for to show that there can be no finite limit, and for to show that it does not go to ? RonL
Originally Posted by bobby77 Find the trigonometric limit: lim (as x approaches infinity) (x-tan 2x)/sin 2x Are you sure that it is not as x approaches zero? If it is as x approaches infinity, then what is tan(infinity)? Or, sin(infinity)? If x approaches zero, limit is (-1/2).
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