E v a l u a t e space limit as x rightwards arrow 9 of fraction numerator square root of x minus 3 over denominator x minus 9 end fraction

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Asked by Topperlearning User | 16th Nov, 2016, 01:42: AM

Expert Answer:

limit as x rightwards arrow 9 of fraction numerator square root of x minus 3 over denominator x minus 9 end fraction
equals limit as x rightwards arrow 9 of fraction numerator square root of x minus 3 over denominator left parenthesis square root of x minus 3 right parenthesis left parenthesis square root of x plus 3 right parenthesis end fraction
equals limit as x rightwards arrow 9 of fraction numerator 1 over denominator square root of x plus 3 end fraction
equals fraction numerator 1 over denominator square root of 9 plus 3 end fraction equals 1 over 6

Answered by  | 16th Nov, 2016, 03:42: AM