Asked by Topperlearning User | 25th Jul, 2014, 05:12: PM

Expert Answer:

limit as n rightwards arrow infinity of open parentheses 1 plus sin space a over n close parentheses to the power of n
equals e to the power of limit as n rightwards arrow infinity of n. l og open parentheses 1 plus sin space a over n close parentheses end exponent
equals e to the power of limit as n rightwards arrow infinity of n. fraction numerator l og open parentheses 1 plus sin space a over n close parentheses over denominator sin begin display style a over n end style end fraction. sin space a over n end exponent
equals e to the power of limit as n rightwards arrow infinity of n. sin space a over n. limit as n rightwards arrow infinity of fraction numerator l og open parentheses 1 plus sin space a over n close parentheses over denominator sin begin display style a over n end style end fraction end exponent
equals e to the power of limit as n rightwards arrow infinity of fraction numerator sin space a over n over denominator begin display style a over n end style end fraction. a.1 end exponent
equals e to the power of a

Answered by  | 25th Jul, 2014, 07:12: PM