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Asked by adjacentcalliber10 | 08 May, 2019, 23:55: PM

Expert Answer

straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals open curly brackets table attributes columnalign left end attributes row cell open parentheses 1 plus straight x cubed minus 1 close parentheses to the power of fraction numerator 1 over denominator 3 space end fraction end exponent space space space straight x less than 0 end cell row cell open parentheses straight x squared minus 1 plus 1 close parentheses to the power of 1 half end exponent space space space straight x greater or equal than 0 end cell end table close straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals open curly brackets table attributes columnalign left end attributes row cell straight x space space space straight x less than 0 end cell row cell straight x space space straight x greater or equal than 0 end cell end table close space RHL colon limit as straight x rightwards arrow 0 to the power of plus of straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals limit as straight x rightwards arrow 0 of straight x equals 0 space LHL colon limit as straight x rightwards arrow 0 to the power of minus of straight g open parentheses straight f open parentheses straight x close parentheses close parentheses equals limit as straight x rightwards arrow 0 of straight x equals 0 straight g open parentheses straight f open parentheses 0 close parentheses close parentheses equals 0 so comma RHL equals LHL equals straight g open parentheses straight f open parentheses 0 close parentheses close parentheses so space continuous space at space straight x equals 0

Answered by Arun | 09 May, 2019, 10:03: AM

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