CBSE Class 11-science Answered

$F i n d space t h e space v a l u e space o f space limit as x rightwards arrow 0 of left parenthesis f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right parenthesis space w h e r e space f left parenthesis x right parenthesis equals x squared plus 2 x plus 3 space a n d space g left parenthesis x right parenthesis equals fraction numerator 1 over denominator 1 plus x end fraction$ Please provide solution to this question

Asked by Topperlearning User | 16 Nov, 2016, 01:18: AM

Expert Answer

$limit as x rightwards arrow 0 of left square bracket f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right square bracket equals limit as x rightwards arrow 0 of f left parenthesis x right parenthesis plus limit as x rightwards arrow 0 of g left parenthesis x right parenthesis limit as x rightwards arrow 0 of space f left parenthesis x right parenthesis equals limit as x rightwards arrow 0 of left parenthesis x squared plus 2 x plus 3 right parenthesis equals limit as x rightwards arrow 0 of x squared plus limit as x rightwards arrow 0 of 2 x plus limit as x rightwards arrow 0 of 3 equals 0 plus 0 plus 3 equals 3 limit as x rightwards arrow 0 of space g left parenthesis x right parenthesis equals limit as x rightwards arrow 0 of fraction numerator 1 over denominator 1 plus x end fraction equals fraction numerator 1 over denominator limit as x rightwards arrow 0 of left parenthesis 1 plus x right parenthesis end fraction equals 1 S o space limit as x rightwards arrow 0 of left square bracket f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right square bracket equals 3 plus 1 equals 4$