Pertanyaan

Untuk t > 0, maka .....

Untuk t > 0, maka $begin mathsize 14px style limit as t rightwards arrow 0 of invisible function application open parentheses 1 over t plus fraction numerator 1 over denominator square root of t end fraction close parentheses open parentheses square root of t plus 1 end root minus 1 close parentheses equals end style$ .....

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as t rightwards arrow 0 of invisible function application open parentheses 1 over t plus fraction numerator 1 over denominator square root of t end fraction close parentheses open parentheses square root of t plus 1 end root minus 1 close parentheses end cell equals cell limit as t rightwards arrow 0 of invisible function application open parentheses open parentheses 1 over t plus fraction numerator square root of t over denominator t end fraction close parentheses open parentheses square root of t plus 1 end root minus 1 close parentheses times fraction numerator open parentheses square root of t plus 1 end root plus 1 close parentheses over denominator open parentheses square root of t plus 1 end root plus 1 close parentheses end fraction close parentheses end cell row blank equals cell limit as t rightwards arrow 0 of invisible function application open parentheses open parentheses fraction numerator 1 plus square root of t over denominator t end fraction close parentheses fraction numerator open parentheses t plus 1 minus 1 close parentheses over denominator open parentheses square root of t plus 1 end root plus 1 close parentheses end fraction close parentheses end cell row blank equals cell limit as t rightwards arrow 0 of invisible function application open parentheses open parentheses fraction numerator 1 plus square root of t over denominator t end fraction close parentheses cross times fraction numerator t over denominator open parentheses square root of t plus 1 end root plus 1 close parentheses end fraction close parentheses end cell row blank equals cell limit as t rightwards arrow 0 of invisible function application open parentheses fraction numerator 1 plus square root of t over denominator square root of t plus 1 end root plus 1 end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator 1 plus square root of 0 over denominator square root of 0 plus 1 end root plus 1 end fraction close parentheses end cell row blank equals cell 1 half end cell end table end style$