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CBSE Class 11-science Answered

E v a l u a t e space limit as x rightwards arrow 7 of fraction numerator x squared minus 4 x minus 21 over denominator 3 x squared minus 17 x minus 28 end fractionPlease provide solution to this question
Asked by Topperlearning User | 16 Nov, 2016, 01:47: AM
answered-by-expert Expert Answer

limit as x rightwards arrow 7 of fraction numerator x squared minus 4 x minus 21 over denominator 3 x squared minus 17 x minus 28 end fraction
equals limit as x rightwards arrow 7 of fraction numerator x squared minus 7 x plus 3 x minus 21 over denominator 3 x squared minus 21 x plus 4 x minus 28 end fraction
equals limit as x rightwards arrow 7 of fraction numerator left parenthesis x minus 7 right parenthesis left parenthesis x plus 3 right parenthesis over denominator left parenthesis x minus 7 right parenthesis left parenthesis 3 x plus 4 right parenthesis end fraction
equals limit as x rightwards arrow 7 of fraction numerator left parenthesis x plus 3 right parenthesis over denominator left parenthesis 3 x plus 4 right parenthesis end fraction equals 10 over 25 equals 2 over 5

Answered by | 16 Nov, 2016, 03:47: AM
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