E v a l u a t e space limit as x rightwards arrow 1 of fraction numerator sin left parenthesis x minus 1 right parenthesis over denominator x squared plus x minus 2 end fraction

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Asked by Topperlearning User | 16th Nov, 2016, 02:05: AM

Expert Answer:

limit as x rightwards arrow 1 of fraction numerator sin left parenthesis x minus 1 right parenthesis over denominator x squared plus x minus 2 end fraction
equals limit as x rightwards arrow 1 of fraction numerator sin left parenthesis x minus 1 right parenthesis over denominator x minus 1 end fraction limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared plus x minus 2 end fraction
equals limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 1 right parenthesis end fraction
equals limit as x rightwards arrow 1 of fraction numerator 1 over denominator x plus 2 end fraction equals 1 third

Answered by  | 16th Nov, 2016, 04:05: AM

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