Weird calculus question.?

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I have a question,

If a, b, c & d are constants such that the limit as x->0 ;

[ax^2 + sin bx + sin cx + sin dx] / [3x^2 + 5x^4 + 7x^6] = 8

find the value of the sum a + b + c + d.

I'm looking for how to solve this solution, how do you find a,b,c & d? I'd imagine you'd factor out the "sin x" or use the quotient rule but I'm really unsure of how to go about this.

It's in the differentiation part of my calculus book, no integrations methods need be used.

10 Points if you can help me :)
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