SOLUTION: lim (1-ax^3)^2 /(x-2x^3+5x^6)=7 find a when x approaching to 2

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Question 1128162: lim (1-ax^3)^2 /(x-2x^3+5x^6)=7 find a when x approaching to 2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

lim%28x-%3E2%29%28%281+-+ax%5E3%29%5E2%2F%28x+-+2+x%5E3+%2B+5+x%5E6%29%29+=+7



=>%28%281-a%2A2%5E3%29%5E2+%2F%282-2%2A2%5E3%2B5%2A2%5E6%29%29=7

=>%28%281-8a%29%5E2+%2F%282-2%2A8%2B5%2A64%29%29=7

=>%28%281-8a%29%5E2+%2F%282-16%2B320%29%29=7

=>%281-8a%29%5E2+%2F306=7
=>%281-8a%29%5E2+=7%2A306
=>1-8a+=sqrt%282142%29
=>8a=1-+3%2Asqrt%28238%29
=>a=%281%2F8%29%281-+3%2Asqrt%28238%29%29