how do i know till what power do i develop the sinus on the denominator and sinus in the numerator so ill get a correct answer. because when i developed till x+o(x) i get that the numerator has axes with smaller power then the denominator so ill get 0 but the correct answer is 1/3 ??
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Notice that when you only go to first order you get something of the form: or which is indeterminate. Generally, you need to take the series out to sufficient order such that the limit is no longer indeterminate.
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