Question 1128162
 
{{{lim(x->2)}}}{{{((1 - ax^3)^2/(x - 2 x^3 + 5 x^6)) = 7}}}




=>{{{((1-a*2^3)^2 /(2-2*2^3+5*2^6))=7}}}


=>{{{((1-8a)^2 /(2-2*8+5*64))=7}}}


=>{{{((1-8a)^2 /(2-16+320))=7}}}


 =>{{{(1-8a)^2 /306=7}}}

=>{{{(1-8a)^2 =7*306}}}

=>{{{1-8a =sqrt(2142)}}}

=>{{{8a=1- 3*sqrt(238)}}}

=>{{{a=(1/8)(1- 3*sqrt(238))}}}