Pembahasan

$begin mathsize 14px style limit as x rightwards arrow pi over 2 of fraction numerator pi open parentheses pi minus 2 x close parentheses tan open parentheses x minus pi over 2 close parentheses over denominator 2 open parentheses x minus pi close parentheses cos squared space x end fraction equals limit as x rightwards arrow pi over 2 of fraction numerator pi. space 2 open parentheses 1 half pi minus x close parentheses tan open parentheses x minus pi over 2 close parentheses over denominator 2 open parentheses x minus pi close parentheses sin squared open parentheses pi over 2 minus x close parentheses end fraction equals limit as x rightwards arrow pi over 2 of fraction numerator pi. space 2 over denominator 2 open parentheses x minus pi close parentheses end fraction. limit as x rightwards arrow pi over 2 of fraction numerator open parentheses 1 half pi minus x close parentheses tan open parentheses x minus pi over 2 close parentheses over denominator sin open parentheses pi over 2 minus x close parentheses. sin open parentheses pi over 2 minus x close parentheses end fraction equals fraction numerator 2 pi over denominator 2 open parentheses negative 1 half pi close parentheses end fraction. fraction numerator 1 over denominator negative 1 end fraction equals 2 end style$

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