CBSE Class 11-science Answered

$G i v e n space limit as x rightwards arrow 1 of f left parenthesis x right parenthesis equals 2 space comma space limit as x rightwards arrow 1 of g left parenthesis x right parenthesis equals 3 space comma space limit as x rightwards arrow 1 of h left parenthesis x right parenthesis equals 2 f i n d space t h e space v a l u e space o f limit as x rightwards arrow 1 of open parentheses fraction numerator g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis minus h left parenthesis x right parenthesis end fraction close parentheses$ Please provide solution to this question

Asked by Topperlearning User | 16 Nov, 2016, 01:28: AM

Expert Answer

$space limit as x rightwards arrow 1 of f left parenthesis x right parenthesis equals 2 space comma space limit as x rightwards arrow 1 of g left parenthesis x right parenthesis equals 3 space comma space limit as x rightwards arrow 1 of h left parenthesis x right parenthesis equals 2 limit as x rightwards arrow 1 of open parentheses fraction numerator g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis minus h left parenthesis x right parenthesis end fraction close parentheses equals fraction numerator limit as x rightwards arrow 1 of g left parenthesis x right parenthesis over denominator stack lim left square bracket with x rightwards arrow 1 below f left parenthesis x right parenthesis minus h left parenthesis x right parenthesis right square bracket end fraction equals fraction numerator 3 over denominator 2 minus 2 end fraction equals infinity S o space t h e space l i m i t space d o e s n apostrophe t space e x i s t$