find the value of
 
               stack l i m with x rightwards arrow infinity below fraction numerator 5 x minus 6 over denominator square root of 4 x squared end root plus 9 end fraction space comma e v a l u a t e space t h e space l i m i t ?

Asked by raoss1967 | 22nd Jul, 2015, 09:31: AM

Expert Answer:

C o n s i d e r space t h e space g i v e n space l i m i t colon stack l i m with x rightwards arrow infinity below fraction numerator 5 x minus 6 over denominator square root of 4 x squared plus 9 end root end fraction equals stack l i m with x rightwards arrow infinity below fraction numerator x open parentheses 5 minus begin display style 6 over x end style close parentheses over denominator x square root of 4 plus begin display style 9 over x squared end style end root end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals stack l i m with x rightwards arrow infinity below fraction numerator open parentheses 5 minus begin display style 6 over x end style close parentheses over denominator square root of 4 plus begin display style 9 over x squared end style end root end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 5 over denominator square root of 4 end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals 5 over 2

Answered by Vimala Ramamurthy | 22nd Jul, 2015, 10:31: AM