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CBSE Class 11-science Answered

Asked by Topperlearning User | 28 Jul, 2014, 11:12: AM
answered-by-expert Expert Answer

limit as x rightwards arrow 0 of fraction numerator 3 to the power of x minus 1 over denominator square root of x plus 1 end root minus 1 end fraction
equals limit as x rightwards arrow 0 of fraction numerator 3 to the power of x minus 1 over denominator x end fraction. fraction numerator x over denominator square root of x plus 1 end root minus 1 end fraction
equals limit as x rightwards arrow 0 of fraction numerator 3 to the power of x minus 1 over denominator x end fraction. limit as x rightwards arrow 0 of fraction numerator x open parentheses square root of x plus 1 end root plus 1 close parentheses over denominator open parentheses square root of x plus 1 end root minus 1 close parentheses open parentheses square root of x plus 1 end root plus 1 close parentheses end fraction
equals log space 3. space limit as x rightwards arrow 0 of fraction numerator x open parentheses square root of x plus 1 end root plus 1 close parentheses over denominator x plus 1 minus 1 end fraction
equals log space 3. space limit as x rightwards arrow 0 of fraction numerator x open parentheses square root of x plus 1 end root plus 1 close parentheses over denominator x end fraction
equals 2 log space 3 equals log space 9

Answered by | 28 Jul, 2014, 01:12: PM
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